Conserved quantities and generalized solutions of the ultradiscrete KdV equation

被引：9

作者：

Kanki, Masataka ^{[1
]}

Mada, Jun ^{[2
]}

Tokihiro, Tetsuji ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

[2] Nihon Univ, Coll Ind Technol, Chiba 2758576, Japan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2011年 / 44卷 / 14期

关键词：

BOX-BALL SYSTEMS; SOLITON CELLULAR-AUTOMATON;

D O I：

10.1088/1751-8113/44/14/145202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct generalized solutions to the ultradiscrete KdV equation, including the so-called negative solition solutions. The method is based on the ultradiscretization of soliton solutions to the discrete KdV equation with gauge transformation. The conserved quantities of the ultradiscrete KdV equation are shown to be constructed in a similar way to those for the box-ball system.

引用

页数：13

共 50 条

[31] Conditional Stability of Solitary-Wave Solutions for Generalized Compound KdV Equation and Generalized Compound KdV-Burgers Equation*
ZHANG Wei-Guo
CommunicationsinTheoreticalPhysics, 2006, 46 (12) : 1091 - 1100
[32] Conditional stability of solitary-wave solutions for generalized compound KdV equation and generalized compound KdV-Burgers equation
Zhang Wei-Guo
Dong Chun-Yan
Fan En-Gui
COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 46 (06) : 1091 - 1100
[33] Group Invariant Solutions and Conserved Quantities of a (3+1)-Dimensional Generalized Kadomtsev-Petviashvili Equation
Simbanefayi, Innocent
Khalique, Chaudry Masood
MATHEMATICS, 2020, 8 (06)
[34] Generalized Wronskian Solutions for a Non-isospectral KdV Equation
Zhang, Yuanyuan
INTERNATIONAL JOINT CONFERENCE ON COMPUTATIONAL SCIENCES AND OPTIMIZATION, VOL 2, PROCEEDINGS, 2009, : 684 - 686
[35] Quasi-periodic solutions for perturbed generalized KdV equation
Mi, Lufang
Zhang, Kangkang
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 32 : 314 - 337
[36] A DECAY PROPERTY OF SOLUTIONS TO THE K-GENERALIZED KDV EQUATION
Nahas, Joules
ADVANCES IN DIFFERENTIAL EQUATIONS, 2012, 17 (9-10) : 833 - 858
[37] Explicit exact solutions for the generalized combined KdV and mKdV equation
Yan Z.
Zhang H.
Applied Mathematics-A Journal of Chinese Universities, 2001, 16 (2) : 156 - 160
[38] Travelling Wave Solutions for Generalized KdV-mKdV Equation
秦亚
赖绍永
Journal of Southwest Jiaotong University(English Edition), 2009, (04) : 366 - 369
[39] Exact solutions for the generalized KdV equation by using Backlund transformations
Zedan, Hassan A.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (08): : 1751 - 1768
[40] THE STABILITY OF THE SOLITARY WAVE SOLUTIONS TO THE GENERALIZED COMPOUND KDV EQUATION
Liu, Xiaohua
Zhang, Weiguo
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2011, 4 (03) : 475 - 480

← 1 2 3 4 5 →