Lie对称性与KdV孤立波计算中的非线性不稳定性问题(张华彦; 冉政)

热度140票 浏览132次 【共27条评论】【我要评论 时间:2008年8月01日 10:04
水利论文)o }ab\|*?u

Lie对称性与KdV孤立波计算中的非线性不稳定性问题

? Q:P%G4{6gE!_&R0水利论文's\2E"W:ba'j1}

【作者】张华彦; 冉政 【作者单位】上海大学上海市应用数学和力学研究

"K k(R6[:l)| zK(k r0

-w"lg ^ u[E0水利论文Z Y^Mt
【论文摘要】 Kruskal 和 Zabusky 提出的计算孤立子的方法在孤立子理论的发展过程中起了重要作用,但是大量的数值结果表明,即使在满足线性稳定性的参数条件下,该方法也会出现非线性不稳定性的数值现象。本研究通过孤立子数值计算中的异常,由 Kruskal 和 Zabusky 所构造的二阶 Leap-frog 格式得出方程的线性稳定性条件,通过有限差分方法得到该格式的修正方程。运用 Lie 对称群的不变性的分析方法,求出满足 KdV 方程不变的对称群,并讨论了其修正方程以及守恒律是否保持了相应的对称性.研究指出,KdV 方程的守恒律满足了标量变换, 但其数值模拟的修正方程并不满足伽利略变换和标量变换等,也就是说,数值模拟破坏了 KdV 方程的某些物理性质。孤立波计算中的非线性不稳定性与对称性的破缺相关。水利论文3N e yIKnR fR

水利论文`:f%|:Z%N j"\

【英文论文摘要】 The method of calculating the solitons which put forward by Kruskal and Zabusky has played an important role in the development of the soliton theory,however,numerous numerical results show that even though the parameters satisfy the linear stability,nonlinear instability will also appear.In this paper,we noticed the exception in the numerical calcultion of soliton,gained the linear stablity condition of the second order Leap-frog scheme constructed by Kruskal and Zabusky, and then drew the perturbed equation through the finite difference method.After that,we solved the symmetry group of the KdV equation with the knowledge of the invariance of Lie symmetry group and then discussed whether the perturbed equation and the conservation law keep the corresponding symmetry.From the paper,the conservation law of KdV equation satisfies the scaling translation, but the perturbed equation doesn't satisfy the Galilean invariance condition and the scaling invariance condition.That is to say,the nu...更多merical simulation destroyed some physical characteristics of KdV equation.The nonlinear instability in the calculation of solitons relates to the deformity of symmetry.  还原

9p6W(gW!i M0水利论文N Y ^S3xn@

【论文关键词】 KdV 孤立波; 非线性不稳定性; Lie 对称性水利论文7QuL%`^w
【英文论文关键词】 KdV solitons; nonlinear instability; Lie symmetry

k`@C2O*o!L0水利论文6r'v tjN

 水利论文w(E9s-? |1j5ISt

TAG: 不稳定性 对称性 冉政 张华彦 KdV
顶:27 踩:18
【已经有97人表态】
23票
极差
10票
很差
5票
较差
13票
稍差
11票
稍好
10票
较好
11票
很好
14票
极好
下一篇:截断圆柱绕射解析解中水线上速度势及其z向偏导数的收敛性研究(耿宝磊; 勾莹; 滕斌)
上一篇:不可压缩SPH数学模型的并行求解(王本龙; D.C.Causon; 刘桦)
水利论文安徽省电信网友 [mlia0t9c] ip: 117.68.*.*
2015-11-02 02:28:05
The C <a href="http://www.footballfalconsofficial.com/falcons-jacob-tamme-black-jersey/">Jacob Tamme Jersey</a> aterpillar may greatest always beknown from the Komatsu through <a href="http://www.footballfalconsofficial.com/falcons-mike-person-black-jersey/">Mike Person Jersey</a>  the elevated drivesprocket or perhaps large push system that results in atriangular, in lieu of square,Jacob Tamme Jersey, molded caterpillarmonitor.profitbooks. A slow site will tr <a href="http://www.footballfalconsofficial.com/falcons-phillip-adams-black-jersey/">Phillip Adams Jersey</a> igger your users to leave rapidly. There seed to b
水利论文安徽省电信网友 [kidc5b0a] ip: 117.68.*.*
2015-12-10 17:09:02
Precisely what the idea frequentl <a href="http://www.cheapnfljerseyssupply.us.com/">Cheap NFL Jerseys Free Shipping</a> y neglects is often cle <a href="http://www.cheapnfljerseyssupply.us.com/">Cheap NFL Jerseys China</a> anup the skin imdiately surrounding much of our o of sight. The Dolphins now have a second-round pick and o third-rounders to build their te <a href="http://www.cheapnfljerseyssupply.us.com/">Cheap NFL Jerseys</a> am on Friday.  And just if you're pressing me hard to tell you how much those romantic hotel weddings ar
水利论文Unknown网友 [mlia0t9c] ip: 183.160.*.*
2016-01-16 18:24:22
Finally after a 25 min walk with your hand attaching you to your carry-o <a href="http://www.netherlandssoccerjerseysshop.com/Soccer-Paul-Verhaegh-Netherland-Jersey/">Paul Verhaegh Netherland Jersey</a> n handle while pulling for this whole time in the same position,Paul V <a href="http://www.netherlandssoccerjerseysshop.com/Soccer-Robin-Van-Persie-Netherland-Jersey/">World Cup Robin van Persie Jersey</a> erhaegh Netherland Jersey, you get to your plane with some neck and shoulder pain. 4-7: May 10, noon ETRadio City Music HallNew York CityNFL draft home page? <a href="http://www.netherlandssoccerjerseysshop.com/Soccer-Ruud-Gullit-Netherland-Jersey/">Ruud Gullit Netherland Jersey</a>
水利论文Unknown网友 [nypd1doi] ip: 183.160.*.*
2016-01-22 15:55:28
T <a href="http://www.authenticbroncosprostore.com/T-Shirts/">Denver Broncos T-Shirts</a> he answer always appeared <a href="http://www.authenticbroncosprostore.com/Orange-Louis-Vasquez-Broncos-Jersey/">Authentic Louis Vasquez Jersey</a>  obvious,Denver Broncos T-Shirts. All 1 demands is to register to the web site by giving and email address and selecting a user na <a href="http://www.authenticbroncosprostore.com/Black-Antonio-Smith-Broncos-Jersey/">Antonio Smith Jersey</a> .Fall is one of the most beautiful times of the year,Authentic Louis Vasquez Jersey. This is certainly sothing you can relate to,Antonio Smith J
水利论文安徽省电信网友 [icpc7q5c] ip: 117.68.*.*
2016-03-08 05:06:10
The Michael Kors Coral Python Wedding rehearsal Tote is made of g <a href="http://www.cheapnfljerseyssupply.us.com/"> Cheap NFL Jerseys</a> old tone  <a href="http://www.cheapnfljerseyssupply.us.com/"> Cheap NFL Jerseys Free Shipping</a> equipnt and tal natural leather lining and is available in dune/coral python. It just makes more sense to have a professional company do it for you. Next I want y <a href="http://www.cheapnfljerseyssupply.us.com/"> Cheap NFL Jerseys From China</a> ou to realize that there are no mistakes, only feedback.  Cheap
水利论文Unknown网友 [nypd1doi] ip: 183.160.*.*
2016-05-14 20:27:10
West’s first nylon toothbru. He walked deject <a href="http://www.authenticredskinsshoponline.com/morgan-moses-redskins-jersey/">Morgan Moses Redskins Jersey</a> ed <a href="http://www.authenticredskinsshoponline.com/andre-roberts-redskins-jersey/">Andre Roberts Womens Jersey</a> ly back to centerfield, his position, and cursed at himself for dropping it."I dont know. You actually had to have some outstanding athletic Morgan Moses Redskins J <a href="http://www.authenticredskinsshoponline.com/jason-hatcher-redskins-jersey/">Jason Hatcher Jersey</a> ersey skills and knowledge of catching to make a catch.  The Bible does not have a single
水利论文Unknown网友 [dlsr90xc] ip: 183.160.*.*
2016-06-14 18:33:04
Quarterb <a href="http://www.baseballtigersstore.com/authentic-david-price-tigers-jersey/">Womens David Price Jersey</a> ack adviser Clyde Christensen called the plays,Womens David Price Jersey,Che <a href="http://www.baseballtigersstore.com/authentic-miguel-cabrera-tigers-jersey/">Tigers Miguel Cabrera Jersey</a> ap Baltimore Ravens Jerseys 365djerseys.  Eating smaller             multiple   healthy meals throughout the day will leave you more satisfied             than     eating three large meals everyd <a href="http://www.baseballtigersstore.com/authentic-rick-porcello-tigers-jersey/">Detroit Tigers Rick Porcello Jersey</a> ay. Guess where??? Ri
水利论文Unknown网友 [icpc7q5c] ip: 183.160.*.*
2016-07-15 00:25:59
With individually painted ‘players, a score board for each team and a spare  <a href="http://www.cheapnflchina.us.com/"> Cheap NFL Jerseys</a> ball should the first one go missing due to foul play,  Che <a href="http://www.cheapnflchina.us.com/"> Wholesale NFL Jerseys</a> ap NFL Jerseys , this game is guaranteed to keep the youngsters occupied for hours, whether or not they have any particular interest in football. <a href="http://www.cheapnflchina.us.com/"> Wholesale Jerseys</a>  Gain vision into wh
水利论文安徽省电信网友 [nypd1doi] ip: 117.68.*.*
2016-07-15 02:04:27
The two of them were so close, and yet so far apart from one another. When an a <a href="http://www.teammanchesterunitedshop.com/Authentic-Antonio-Valencia-Manchester-United-Jersey/">Antonio Valencia Jersey</a> ppointment absolutely can't be missed,Antonio  <a href="http://www.teammanchesterunitedshop.com/Authentic-Luke-Shaw-Manchester-United-Jersey/">Luke Shaw Jersey</a> Valencia Jersey, it pays to allow ridiculous amounts of time. It has been said that when Tirupati cashes in its gold,Luke Shaw Jersey, the disposition of the Bombay financial <a href="http://www.teammanchesterunitedshop.com/Authentic-Javier-Hernandez-Manchester-United-Jersey/">Javier Hernandez Jersey</a>
水利论文Unknown网友 [dlsf08ec] ip: 183.160.*.*
2016-07-15 02:53:12
Need I say more?Oh yes, bring a coat if it is cold out an <a href="http://www.rosherunfleur.fr/nike-roshe-ld-1000-sp.html"> nike roshe ld 1000 acheter</a> d <a href="http://www.rosherunfleur.fr/nike-roshe-ld-1000-sp.html"> nike roshe ld 1000 femme</a>  be prepared to sing and eat peanuts. Then there are the key rings with a fully operational clock included.Most Autoresponder services will provide you with the code to insert here.Local Art, Childrens or History Museums - Children  <a href="http://www.rosherunfleur.fr/nike-roshe-floral-fleurs-print.html"> nike roshe run fleur rose</a> like to go
水利论文Unknown网友 [k0ey9cko] ip: 183.160.*.*
2016-07-15 04:45:24
Moon - all ernnt tivities, jewelers, nurses, midwives, pearls and precious stone <a href="http://www.asicssneakersoutlet.nl/asics-sneakers-korting/asics-gt-2170.html"> asics gt 2170 dames</a>  dealers. For this reason, a volcano making kit is an ideal gi <a href="http://www.asicssneakersoutlet.nl/asics-gel-kinsei-kopen/asics-gel-kinsei-5-heren.html"> asics gel kinsei 5 heren</a> ft, as it can be used time and time over to create impressive volcanic cialis orderingeruptions! Not only is this kit fun and a little messy (which all kids  <a href="http://www.asicssneakersoutlet.nl/asics-sneakers-korting/asics-gel-hyper33.html"> asics gel hyper 33 dames</a> n
水利论文安徽省电信网友 [k0ey9cko] ip: 117.68.*.*
2016-11-10 06:43:28
This c <a href="http://www.shopmax90australia.com/">nike air max 90 australia</a> ompany holds a special place in my memory.  In the nike air <a href="http://www.shopmax90australia.com/nike-air-max-90-black-trainers-shoes/air-max-90-black-and-blue.html">nike air max 90 black and blue mens</a>  max 90 australia event that satellite signals are not available, or precision is less important than battery life, utilizing nike air m <a href="http://www.shopmax90australia.com/nike-air-max-90-floral-cheap-sale.html">nike air max 90 floral womens</a> ax 90 black and blue mens Cell-ID is a viable alternative to GPS cell phone tracking. Though there’
水利论文安徽省电信网友 [mlia0t9c] ip: 117.68.*.*
2016-11-10 11:56:03
And we can recall that a decade ago tanks from Russia did arr <a href="http://www.netherlandsteamsoccer.com/Vincent-Janssen-Netherland-Jersey/"> Vincent Janssen Jersey</a> ive in Belgrade, and we all bombed  <a href="http://www.netherlandsteamsoccer.com/Georginio-Wijnaldum-Netherland-Jersey/"> Georginio Wijnaldum Netherland Jersey</a> around them, so to speak, until, mercifully they drove back to Russia. With exclusive leather, the new collection is adjustable for various types of outfits.  Vincent Janssen Jersey .Install a Firewall:  <a href="http://www.netherlandsteamsoccer.com/Luciano-Narsingh-Netherland-Jersey/"> Luciano Narsingh Netherland Jersey</a> A
水利论文安徽省电信网友 [nypd1doi] ip: 117.68.*.*
2016-11-10 18:19:15
.It gives a clean finish to flooring in Nashville,Womens Clayton Kershaw Jers <a href="http://www.baseballdodgersjerseys.com/authentic-clayton-kershaw-dodgers-jersey/">Womens Clayton Kershaw Jersey</a> ey, TN. Now, comforter sets consist of several hues and kinds, gi <a href="http://www.baseballdodgersjerseys.com/">Los Angeles Dodgers Alternate Jerseys</a> ving parents or guardians a number of methods when it comes time available for you to adorn their newborn’s home.The Braves received cash considerations from <a href="http://www.baseballdodgersjerseys.com/authentic-yasmani-grandal-dodgers-jersey/">Yasmani Grandal Jersey</a>
水利论文安徽省合肥市电信网友 [kse23p4d] ip: 60.168.*.*
2017-02-28 05:44:24
Whatever you do, stay clear of cussing or discussing your personal co <a href="http://www.footballcardinalsofficialonline.com/authentic-marcus-cooper-cardinals-jersey/"> Marcus Cooper Cardinals Jersey</a> mpany  <a href="http://www.footballcardinalsofficialonline.com/authentic-robert-nkemdiche-cardinals-jersey/"> Cheap Robert Nkemdiche Jersey</a> prior to the audition. If anything is suspicious,  Marcus Cooper Cardinals Jersey , ask for another mode of payment."I think that's a possibility,  Cheap Robert Nkemdiche Jersey ," Sandy Alderson said of bringing back Santan <a href="http://www.footballcardinalsofficialonline.com/authentic-tyvon-branch-cardinals-jersey/"> Tyvon Branch Jersey</a> a
水利论文IANA网友 [kse23p4d] ip: 114.97.*.*
2017-05-02 04:52:24
Ensure Lowcost Loan as <a href="http://www.teambruinsshop.com/Bruins-Kevan-Miller-Authentic-Jersey/">Kevan Miller Bruins Jersey</a>  a result of Looking  <a href="http://www.teambruinsshop.com/Bruins-David-Pastrnak-Authentic-Jersey/">Authentic David Pastrnak Jersey</a> for Affordable Secured car finance  StrongPedia Article Directory  Free article directory.?Trading,Kevan Miller Bruins Jersey, like any endeavor, <a href="http://www.teambruinsshop.com/Bruins-Reilly-Smith-Authentic-Jersey/">Reilly Smith Bruins Jersey</a>  any skill, is learnt through doing. He is 23 with a 4.(2) The average price per sq. As a result,Authentic David
水利论文IANA网友 [kse23p4d] ip: 114.97.*.*
2017-05-02 07:46:07
Do not ignore to discuss security machines when get <a href="http://www.thenflbuccaneersshoponline.com/Youth-Jacquies-Smith-Buccaneers-Jersey/">Jacquies Smith Jersey</a> ting quotes for your property owner’s insurance. They sai <a href="http://www.thenflbuccaneersshoponline.com/Youth-Adam-Humphries-Buccaneers-Jersey/">Buccaneers Adam Humphries Jersey</a> d that a serving of fatty fish a day can provide ninety% of as we speak’s recommended dietary requirement for vitamin D. Due to this fact, that they are not able to settle these by the due da <a href="http://www.thenflbuccaneersshoponline.com/Youth-Vernon-Hargreaves-Iii-Buccaneers-Jersey/">Vernon Hargreaves III Youth Jersey</a> t
水利论文安徽省电信网友 [osdj44l3] ip: 117.68.*.*
2017-06-22 10:05:09
Don't pick at your pimples. It mut l ffrlutn t <a href="http://www.cheapnfljerseysdiscount.us.com/">Cheap Nike NFL Jerseys Online</a>  th  <a href="http://www.cheapnfljerseysdiscount.us.com/">Cheap Jerseys From China</a> urfr nd fnll tll hm wht t d. Either way, it must encourage people to sign up and get future e mail letters from your business.Here are three  <a href="http://www.cheapnfljerseysdiscount.us.com/">Cheap Nike NFL Jerseys China</a> important steps Cheap Nike NFL Jerseys Online to practice:First, plant yourself in front of your opponent.Now
水利论文Unknown网友 [icpc7q5c] ip: 183.160.*.*
2017-06-22 14:27:57
D?game, Doctor, cu?ntos ocho d?as m?s debo esperar para que mi esposa <a href="http://www.cheapfootballjerseysnfl.us.com/"> Wholesale Jerseys</a>  vuelva a ser <a href="http://www.cheapfootballjerseysnfl.us.com/"> Wholesale NFL Jerseys China</a>  la persona que era hasta ese remoto 3 de Marzo ?. Without a doubt,  Wholesale Jerseys , you do not need to employ builders.It is an unique blend of religious, <a href="http://www.cheapfootballjerseysnfl.us.com/"> Cheap Jerseys No Tax</a>  mental, as well as physical conditioning that focuses on a
水利论文安徽省电信网友 [dy1gyvgr3yfr] ip: 117.68.*.*
2017-06-22 18:00:41
In the event you apply these suggestions, it is possible to  <a href="http://www.cheapnfljerseys-online.com/">Wholesale NFL Jerseys Free Shipping</a> get pleasure from th <a href="http://www.cheapnfljerseys-online.com/">Cheap NFL Jerseys From China</a> e results you Wholesale NFL Jerseys Free Shipping search for.High vogue product have effective and enigmatic characteristics. You can draw a line of chalk at the base your house to minimize chances of ent <a href="http://www.cheapnfljerseys-online.com/">Wholesale Jerseys</a> ry. On the list
查看全部回复【已有27位网友发表了看法】

广告投放

广告投放