Simple explicit formulae for finite time blow up solutions to the complex KdV equation

被引：11

作者：

Li, Y. Charles ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 39卷 / 01期

关键词：

IRROTATIONAL WATER-WAVES; DE-VRIES EQUATION;

D O I：

10.1016/j.chaos.2007.04.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Simple explicit formulae for finite time blow up solutions to the complex KdV equation are obtained via a Darboux transformation. Diffusions induced by perturbations are calculated. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：369 / 372

页数：4

共 9 条

[1] AN EXAMPLE OF BLOW-UP, FOR THE COMPLEX KDV EQUATION AND EXISTENCE BEYOND THE BLOW-UP
BIRNIR, B
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1987, 47 (04) : 710 - 725
[2] Bona JL, 2001, INDIANA U MATH J, V50, P759
[3] Christ M, 2003, AM J MATH, V125, P1235
[4] A bilinear estimate with applications to the KdV equation
Kenig, CE
Ponce, G
Vega, L
[J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 9 (02) : 573 - 603
[5] A SIMPLE-MODEL FOR UNIDIRECTIONAL CRYSTAL-GROWTH
KERSZBERG, M
[J]. PHYSICS LETTERS A, 1984, 105 (4-5) : 241 - 244
[6] KORTEWEG-DEVRIES EQUATION AND GENERALIZATIONS .5. UNIQUENESS AND NONEXISTENCE OF POLYNOMIAL CONSERVATION LAWS
KRUSKAL, MD
MIURA, RM
GARDNER, CS
ZABUSKY, NJ
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1970, 11 (03) : 952 - &
[7] LEVI-CIVITA THEORY FOR IRROTATIONAL WATER-WAVES IN A ONE-DIMENSIONAL CHANNEL AND THE COMPLEX KORTEWEG-DE VRIES EQUATION
LEVI, D
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 1994, 99 (03) : 705 - 709
[8] Irrotational water waves and the complex Korteweg de Vries equation
Levi, D
Sanielevici, M
[J]. PHYSICA D, 1996, 98 (2-4): : 510 - 514
[9] The complex KdV equation with or without dissipation
Yuan, JM
Wu, JH
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2005, 5 (02): : 489 - 512

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