New exact solutions of the (2+1)-dimensional KdV equation with variable coefficients

被引：17

作者：

Shen, SF ^{[1
]}

Zhang, J

Ye, C

Pan, ZL

机构：

[1] Zhejiang Univ Technol, Dept Math, Hangzhou 310014, Peoples R China

[2] Zhejiang Forestry Coll, Dept Math, Linan 311300, Peoples R China

[3] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

来源：

PHYSICS LETTERS A | 2005年 / 337卷 / 1-2期

关键词：

KdV equation; Jacobi elliptic function; hyperbolic function; exact solution;

D O I：

10.1016/j.physleta.2005.01.056

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, the modified Jacobi elliptic function expansion method is applied to solve the (2 + 1)-dimensional KdV equation with variable coefficients. As a consequence, abundant families of Jacobi elliptic function solutions are obtained. When the modulus m -> 1, those periodic solutions degenerate as the corresponding hyperbolic function solutions. (c) 2005 Published by Elsevier B.V.

引用

页码：101 / 106

页数：6

共 50 条

[21] New exact solutions to (2+1)-dimensional variable coefficients Broer-Kaup equations
Zhu Jia-Min
Ma Zheng-Yi
COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 46 (03) : 393 - 396
[22] Integrability and Exact Solutions of the(2+1)-dimensional KdV Equation with Bell Polynomials Approach
Jun-cai PU
Yong CHEN
ActaMathematicaeApplicataeSinica, 2022, 38 (04) : 861 - 881
[23] New Exact Solutions to (2+1)-Dimensional Variable Coefficients Broer-Kaup Equations
ZHU Jia-Min~(1
CommunicationsinTheoreticalPhysics, 2006, 46 (09) : 393 - 396
[24] Multisoliton solutions of the (2+1)-dimensional KdV equation
Zhang, JF
Huang, WH
COMMUNICATIONS IN THEORETICAL PHYSICS, 2001, 36 (05) : 523 - 524
[25] Explicit Solutions of (2+1)-Dimensional Canonical Generalized KP, KdV, and (2+1)-Dimensional Burgers Equations with Variable Coefficients
ZHANG Lin-Lin~+ and LIU Xi-Qiang~(++)School of Mathematical Sciences
CommunicationsinTheoreticalPhysics, 2009, 52 (11) : 784 - 790
[26] Explicit Solutions of (2+1)-Dimensional Canonical Generalized KP, KdV, and (2+1)-Dimensional Burgers Equations with Variable Coefficients
Zhang Lin-Lin
Liu Xi-Qiang
COMMUNICATIONS IN THEORETICAL PHYSICS, 2009, 52 (05) : 784 - 790
[27] Wave Solutions for a (2+1)-Dimensional Burgers-KdV Equation with Variable Coefficients via the Functional Expansion Method
Cimpoiasu, Rodica
Constantinescu, Radu
SYMMETRY-BASEL, 2024, 16 (01):
[28] An efficient algorithm to construct multi-soliton rational solutions of the (2+1)-dimensional KdV equation with variable coefficients
Osman, M. S.
Wazwaz, Abdul-Majid
APPLIED MATHEMATICS AND COMPUTATION, 2018, 321 : 282 - 289
[29] Soliton-like solutions for a (2+1)-dimensional nonintegrable KdV equation and a variable-coefficient KdV equation
Chen, Y
Li, B
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 2003, 118 (08): : 767 - 776
[30] Binary Bell polynomial application in generalized(2+1)-dimensional KdV equation with variable coefficients
张翼
魏薇薇
程腾飞
宋洋
Chinese Physics B, 2011, 20 (11) : 34 - 40

← 1 2 3 4 5 →