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

[31] Influence of variable coefficients on global existence of solutions of semilinear heat equations with nonlinear boundary conditions
Gladkov, Alexander
Guedda, Mohammed
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2020, (63) : 1 - 11
[32] Classes of new exact solutions for nonlinear Schrodinger equations with variable coefficients arising in optical fiber
El-Shiekh, Rehab M.
RESULTS IN PHYSICS, 2019, 13
[33] Radon measures as solutions of the Cauchy problem for evolution equations
Colombeau, Mathilde
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (04):
[34] Representation of Solutions of Nonlinear Evolution Equations in the Form of Special Series with recurrent Calculating Coefficients
Filimonov, M. Yu.
41ST INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'15), 2015, 1690
[35] Derivation of soliton solutions to nonlinear evolution equations using He's variational principle
Elboree, Mohammed K.
APPLIED MATHEMATICAL MODELLING, 2015, 39 (14) : 4196 - 4201
[36] Soliton solutions to a few fractional nonlinear evolution equations in shallow water wave dynamics
Mirzazadeh, Mohammad
Ekici, Mehmet
Sonmezoglu, Abdullah
Ortakaya, Sami
Eslami, Mostafa
Biswas, Anjan
EUROPEAN PHYSICAL JOURNAL PLUS, 2016, 131 (05):
[37] Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations
Ryabov, Pavel N.
Sinelshchikov, Dmitry I.
Kochanov, Mark B.
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (07) : 3965 - 3972
[38] A NOTE FOR FINDING EXACT SOLUTIONS OF SOME NONLINEAR DIFFERENTIAL EQUATIONS
Pinar, Zehra
Ozis, Turgut
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2018, 36 (02): : 433 - 440
[39] Doubly nonlinear stochastic evolution equations
Scarpa, Luca
Stefanelli, Ulisse
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2020, 30 (05): : 991 - 1031
[40] Bilinear Forms and Soliton Solutions for the Reduced Maxwell-Bloch Equations with Variable Coefficients in Nonlinear Optics
Chai, Jun
Tian, Bo
Chai, Han-Peng
COMMUNICATIONS IN THEORETICAL PHYSICS, 2018, 69 (02) : 188 - 190

← 1 2 3 4 5 →