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

[41] THE CONSTRUCTION OF THE SOLUTIONS OF SOME PARTIAL-DIFFERENTIAL EQUATIONS
PLETNER, YD
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1992, 32 (05) : 645 - 658
[42] Stochastic solutions of some nonlinear partial differential equations
Vilela Mendes, R.
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2009, 81 (3-4) : 279 - 297
[43] Exact solutions of some nonlinear partial differential equations
Inan, Ibrahim E.
Kaya, Dogan
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 381 (104-115) : 104 - 115
[44] On the speed of decay of solutions to some partial differential equations
Porzio, Maria Michaela
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 528 (02)
[45] Some decomposition method for analytic solving of certain nonlinear partial differential equations in physics with applications
Stepien, Lukasz T.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (06) : 1607 - 1611
[46] Analytic solutions of some functional differential equations linear systems
Irkutsk Computing Center, Siberian Branch of RAS, Irkutsk 664033, Russia
Nonlinear Anal Theory Methods Appl, 5 (2641-2651):
[47] SOME RESULTS ON ANALYTIC AND MEROMORPHIC SOLUTIONS OF ALGEBRAIC DIFFERENTIAL EQUATIONS
BANK, SB
ADVANCES IN MATHEMATICS, 1975, 15 (01) : 41 - 62
[48] Analytic solutions of some functional differential equations linear systems
Cherepennikov, V
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (05) : 2641 - 2651
[49] The periodic wave solutions and solitary wave solutions for a class of nonlinear partial differential equations
Zhou, YB
Wang, ML
Miao, TD
PHYSICS LETTERS A, 2004, 323 (1-2) : 77 - 88
[50] On complex analytic solutions of certain trinomial functional and partial differential equations
Saleeby, Elias G.
AEQUATIONES MATHEMATICAE, 2013, 85 (03) : 553 - 562

← 1 2 3 4 5 →