Nonlinear evolution equations admitting multilinear variable separable solutions

被引：11

作者：

Qu, Changzheng ^{[1
,2
]}

Shen, Shoufeng ^{[1
,3
]}

机构：

[1] NW Univ Xian, Ctr Nonlinear Studies, Xian 710069, Peoples R China

[2] NW Univ Xian, Dept Math, Xian 710069, Peoples R China

[3] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 50卷 / 10期

关键词：

integral equations; mathematical operators; nonlinear differential equations; partial differential equations; HIROTA 3-SOLITON CONDITION; SEPARATION APPROACH; COHERENT STRUCTURES; SYSTEM; SEARCH;

D O I：

10.1063/1.3238300

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on the Hirota's bilinear transformation method, it is shown that a family of nonlinear partial differential equations admit multilinear variable separation solutions. This extends the class of nonlinear partial differential equations which admit the multilinear variable separation solutions.

引用

页数：14

共 50 条

[41] Three Positive Periodic Solutions to Nonlinear Neutral Functional Differential Equations with Parameters on Variable Time Scales
Li, Yongkun
Wang, Chao
JOURNAL OF APPLIED MATHEMATICS, 2012,
[42] On Blow-Up and Explicit Soliton Solutions for Coupled Variable Coefficient Nonlinear Schrödinger Equations
Escorcia, Jose M.
Suazo, Erwin
MATHEMATICS, 2024, 12 (17)
[43] Analytical and Numerical solutions of a nonlinear alcoholism model via variable-order fractional differential equations'
Gomez-Aguilar, J. F.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 494 : 52 - 75
[44] A UNIFORM APPROACH TO EXPLORING THE BELL-TYPE SOLITARY WAVE SOLUTIONS OF NONLINEAR EVOLUTION EQUATIONS
Xie, Yuanxi
Peng, Shiyu
Su, Kalin
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2012, 26 (31):
[45] Maple packages for computing Hirota's bilinear equation and multisoliton solutions of nonlinear evolution equations
Zhou, Zhen-jiang
Fu, Jing-zhi
Li, Zhi-bin
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (01) : 92 - 104
[46] Optical soliton solutions for Schrodinger type nonlinear evolution equations by the tan(Φ(ξ)/2)-expansion method
Manafian, Jalil
OPTIK, 2016, 127 (10): : 4222 - 4245
[47] New periodic and soliton solutions by application of Exp-function method for nonlinear evolution equations
Borhanifar, A.
Kabir, M. M.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 229 (01) : 158 - 167
[48] Non-separable splines and numerical computation of evolution equations by the Galerkin methods
Ueno, Toshihide
Okada, Masaim
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 223 (01) : 159 - 176
[49] Designable Integrability of the Variable Coefficient Nonlinear Schrodinger Equations
He, J.
Li, Y.
STUDIES IN APPLIED MATHEMATICS, 2011, 126 (01) : 1 - 15
[50] On growing solutions of nonlinear ordinary differential equations
Kon'kov, AA
MATHEMATICAL NOTES, 1997, 62 (5-6) : 664 - 667

← 1 2 3 4 5 →