Exact solutions for nonlinear variants of Kadomtsev-Petviashvili (n, n) equation using functional variable method

被引：16

作者：

Mirzazadeh, M. ^{[1
]}

Eslami, M. ^{[2
]}

机构：

[1] Univ Guilan, Dept Engn Sci, Fac Engn & Technol, Rudsar, Iran

[2] Univ Mazandaran, Dept Math, Fac Math Sci, Babol Sar, Iran

来源：

PRAMANA-JOURNAL OF PHYSICS | 2013年 / 81卷 / 06期

关键词：

Functional variable method; compacton; solitary pattern; Kadomtsev-Petviashvili equation; SOLITON-SOLUTIONS; TANH METHOD; COMPACT; KDV;

D O I：

10.1007/s12043-013-0632-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Studying compactons, solitons, solitary patterns and periodic solutions is important in nonlinear phenomena. In this paper we study nonlinear variants of the Kadomtsev-Petviashvili (KP) and the Korteweg-de Vries (KdV) equations with positive and negative exponents. The functional variable method is used to establish compactons, solitons, solitary patterns and periodic solutions for these variants. This method is a powerful tool for searching exact travelling solutions in closed form.

引用

页码：911 / 924

页数：14

共 24 条

[1] The first integral method for constructing exact and explicit solutions to nonlinear evolution equations [J].

Aslan, Ismail .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (06) :716-722

[2] Exact and explicit solutions to nonlinear evolution equations using the division theorem [J].

Aslan, Ismail .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (20) :8134-8139

[3]

Biswas A., 2011, Open Nucl. Part. Phys. J, V4, P21, DOI [10.2174/1874415X01104010021, DOI 10.2174/1874415X01104010021]

[4] Chiral Solitons With Time-Dependent Coefficients [J].

Biswas, Anjan .

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2010, 49 (01) :79-83

[5] Properties of compacton-anticompacton collisions [J].

Cardenas, Andres ;

Mihaila, Bogdan ;

Cooper, Fred ;

Saxena, Avadh .

PHYSICAL REVIEW E, 2011, 83 (06)

[6] A procedure to construct exact solutions of nonlinear evolution equations [J].

Cevikel, Adem Cengiz ;

Bekir, Ahmet ;

Akar, Mutlu ;

San, Sait .

PRAMANA-JOURNAL OF PHYSICS, 2012, 79 (03) :337-344

[7] SOLITARY WAVES IN A CLASS OF GENERALIZED KORTEWEG-DEVRIES EQUATIONS [J].

COOPER, F ;

SHEPARD, H ;

SODANO, P .

PHYSICAL REVIEW E, 1993, 48 (05) :4027-4032

[8] 1-Soliton solution of the generalized KP equation with generalized evolution [J].

Ismail, M. S. ;

Petkovic, Marko D. ;

Biswas, Anjan .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (07) :2220-2225

[9]

Kadomtsev B. B., 1970, Soviet Physics - Doklady, V15, P539

[10] ONE-PARAMETER FAMILY OF SOLITON-SOLUTIONS WITH COMPACT SUPPORT IN A CLASS OF GENERALIZED KORTEWEG-DE VRIES EQUATIONS [J].

KHARE, A ;

COOPER, F .

PHYSICAL REVIEW E, 1993, 48 (06) :4843-4844

← 1 2 3 →