Explicit exact solutions for a new generalized Hamiltonian amplitude equation with nonlinear terms of any order

被引：7

作者：

Chen, Y ^{[1
]}

Li, B

Zhang, HQ

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China

[2] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2004年 / 55卷 / 06期

关键词：

generalized Hamiltonian amplitude equation; extended tanh method; exact solution; solitary wave solution;

D O I：

10.1007/s00033-004-2030-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Making use of a proper transformation and a generalized ansatz, we consider a new generalized Hamiltonian amplitude equation with nonlinear terms of any order, iu(x) + u(tt) + (alpha|u|(p) + beta|u|(2p)) u + deltau(xt) = 0. As a result, many explicit exact solutions, which include kink-shaped soliton solutions, bell-shaped soliton solutions, periodic wave solutions, the combined formal solitary wave solutions and rational solutions, are obtained.

引用

页码：983 / 993

页数：11

共 50 条

[31] A sub-ODE method for generalized Gardner and BBM equation with nonlinear terms of any order
Lu, Dianchen
Liu, CuiLian
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) : 1404 - 1407
[32] Explicit exact solitary wave solutions for generalized symmetric regularized long-wave equations with high-order nonlinear terms
Zhang, WG
CHINESE PHYSICS, 2003, 12 (02): : 144 - 148
[33] Exact explicit solutions of the nonlinear Schrodinger equation coupled to the Boussinesq equation
Yao, RX
Li, ZB
ACTA MATHEMATICA SCIENTIA, 2003, 23 (04) : 453 - 460
[34] EXACT AND EXPLICIT SOLITARY WAVE SOLUTIONS FOR THE GENERALIZED FISHER EQUATION
WANG, XY
PHYSICS LETTERS A, 1988, 131 (4-5) : 277 - 279
[35] 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
[36] EXPLICIT EXACT SOLUTIONS FOR THE GENERALIZED COMBINED KdV AND MKdV EQUATION
Yan Zhenya Zhang HongqingDept.ofAppl.Math.
AppliedMathematics:AJournalofChineseUniversities, 2001, (02) : 156 - 160
[37] Traveling wave solutions of the compound KdV-type equation with nonlinear terms of any order
Yang, Xian-Lin
Tang, Jia-Shi
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 2008, 123 (05): : 523 - 532
[38] Various exact solutions of nonlinear Schrodinger equation with two nonlinear terms
Wang, Mingliang
Li, Xiangzheng
Zhang, Jinliang
CHAOS SOLITONS & FRACTALS, 2007, 31 (03) : 594 - 601
[39] Auto-Backlund transformations and exact solutions for some nonlinear partial differential equations with nonlinear terms of any order
Li, B
Chen, Y
Zhang, HQ
CZECHOSLOVAK JOURNAL OF PHYSICS, 2004, 54 (02) : 167 - 176
[40] Exact explicit nonlinear wave solutions to a modified cKdV equation
Wen, Zhenshu
Shi, Lijuan
AIMS MATHEMATICS, 2020, 5 (05): : 4917 - 4930

← 1 2 3 4 5 →