Analytic method for solitary solutions of some partial differential equations

被引：24

作者：

Ugurlu, Yavuz ^{[1
]}

Kaya, Dogan ^{[1
]}

机构：

[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey

来源：

PHYSICS LETTERS A | 2007年 / 370卷 / 3-4期

关键词：

improved tanh function method; KdV equation; Soliton solution; Clannish random walker's parabolic equation; STO equation with its fission and fusion; Jaulent-Miodek equation;

D O I：

10.1016/j.physleta.2007.05.057

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter by considering an improved tanh function method, we found some exact solutions of the clannish random walker's parabolic equation, the modified Korteweg-de Vries (KdV) equation, and the Sharma-Tasso-Olver (STO) equation with its fission and fusion, the Jaulent-Miodek equation. (C) 2007 Elsevier B.V All rights reserved.

引用

页码：251 / 259

页数：9

共 50 条

[31] Uniformly analytic solutions to a class of singular partial differential equations
Soto, John Paolo O.
Lope, Jose Ernie C.
Ona, Mark Philip F.
AIMS MATHEMATICS, 2022, 7 (06): : 10400 - 10421
[32] Analytic and Summable Solutions of Inhomogeneous Moment Partial Differential Equations
Michalik, Slawomir
FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2017, 60 (03): : 325 - 351
[33] Analytic Solutions of Moment Partial Differential Equations with Constant Coefficients
Michalik, Slawomir
FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2013, 56 (01): : 19 - 50
[34] Exact Solutions for Some Fractional Partial Differential Equations by the (G′/G) Method
Zheng, Bin
MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[35] ON EXPONENTIAL DECAY OF SOLUTIONS FOR SOME PARTIAL DIFFERENTIAL EQUATIONS
MASUDA, K
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1967, 19 (01) : 82 - +
[36] LP estimates of solutions of some partial differential equations
Zhang, LH
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (01) : 147 - 155
[37] The Multisoliton Solutions of Some Nonlinear Partial Differential Equations
Taghizadeh, N.
Mirzazadeh, M.
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2011, 6 (01): : 284 - 291
[38] THE PROPERTIES OF THE SOLUTIONS OF SOME PARTIAL-DIFFERENTIAL EQUATIONS
PLETNER, YD
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1992, 32 (06) : 769 - 780
[39] Exact solutions for some nonlinear partial differential equations
Peng, YZ
PHYSICS LETTERS A, 2003, 314 (5-6) : 401 - 408
[40] Integral representations of solutions of some partial differential equations
Janušauskas A.
Lithuanian Mathematical Journal, 1997, 37 (1) : 29 - 37

← 1 2 3 4 5 →