Singular solutions in Casoratian form for two differential-difference equations

被引：36

作者：

Zhang, DJ ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2005年 / 23卷 / 04期

关键词：

D O I：

10.1016/j.chaos.2004.06.034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Negatons, positons, rational solutions and mixed solutions in Casoratian form for the Toda lattice and the differential-difference KdV equation are obtained. Some characteristics of the obtained singular solutions are investigated through density graphics. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1333 / 1350

页数：18

共 50 条

[1] CASORATIAN SOLUTIONS AND NEW SYMMETRIES OF THE DIFFERENTIAL-DIFFERENCE KADOMTSEV-PETVIASHVILI EQUATION
Zhang, Da-Jun
Ji, Jie
Sun, Xian-Long
[J]. MODERN PHYSICS LETTERS B, 2009, 23 (17): : 2107 - 2114
[2] On existence of solutions of differential-difference equations
Li, Hai-Chou
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (01) : 144 - 151
[3] CLASS OF SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATIONS
WLODARSK.A
[J]. BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1971, 19 (01): : 29 - &
[4] Polynomial solutions of differential-difference equations
Dominici, Diego
Driver, Kathy
Jordaan, Kerstin
[J]. JOURNAL OF APPROXIMATION THEORY, 2011, 163 (01) : 41 - 48
[5] ASYMPTOTIC SOLUTIONS TO DIFFERENTIAL-DIFFERENCE EQUATIONS
DOSDALE, T
DUGGAN, G
MORGAN, GJ
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1974, 7 (09): : 1017 - 1026
[6] Mixed rational-soliton solutions of two differential-difference equations in Casorati determinant form
Wu, H
Zhang, DJ
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (17): : 4867 - 4873
[7] Casoratian Solutions to a Non-isospectral Differential-Difference Kadomtsev-Petviashvilli Equation
JI Jie~ ZHANG Da-Jun~2 CHEN Deng-Yuan~2 College of Statistics and Mathematics
[J]. Communications in Theoretical Physics, 2008, 50 (09) : 557 - 560
[8] Casoratian solutions to a non-isospectral differential-difference Kadomtsev-Petviashvilli equation
Ji Jie
Zhang Da-Jun
Chen Deng-Yuan
[J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 50 (03) : 557 - 560
[9] Study on the existence of solutions to two specific types of differential-difference equations
Wang, Qiong
Wang, Qiongyan
[J]. TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (02) : 941 - 954
[10] Oscillatory Periodic Solutions for Two Differential-Difference Equations Arising in Applications
Cheng, Rong
[J]. ABSTRACT AND APPLIED ANALYSIS, 2011,

← 1 2 3 4 5 →