Sech-polynomial travelling solitary-wave solutions of odd-order generalized KdV equations

被引：38

作者：

Parkes, EJ ^{[1
]}

Zhu, Z

Duffy, BR

Huang, HC

机构：

[1] Univ Strathclyde, Dept Math, Livingstone Tower,Richmond St, Glasgow G1 1XH, Lanark, Scotland

[2] Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Peoples R China

来源：

PHYSICS LETTERS A | 1998年 / 248卷 / 2-4期

关键词：

solitary wave; generalized KdV equation;

D O I：

10.1016/S0375-9601(98)00662-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A (2m + 1)th-order generalized KdV equation is considered, where m is a positive integer. Four new explicit travelling solitary-wave solutions are obtained for the case m = 4. The case of arbitrary m greater than or equal to 3 is considered; it is shown that, subject to certain restrictions on the coefficients in the equation, there are always at least two sech-polynomial type solutions. (C) 1998 Elsevier Science B.V.

引用

页码：219 / 224

页数：6

共 9 条

[1] Travelling solitary wave solutions to a seventh-order generalized KdV equation [J].

Duffy, BR ;

Parkes, EJ .

PHYSICS LETTERS A, 1996, 214 (5-6) :271-272

[2] EXACT SOLITARY WAVE SOLUTIONS OF NONLINEAR EVOLUTION AND WAVE-EQUATIONS USING A DIRECT ALGEBRAIC-METHOD [J].

HEREMAN, W ;

BANERJEE, PP ;

KORPEL, A ;

ASSANTO, G ;

VANIMMERZEELE, A ;

MEERPOEL, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (05) :607-628

[3]

MA WX, 1993, PHYS LETT A, V180, P221, DOI 10.1016/0375-9601(93)90699-Z

[4] The tanh method .1. Exact solutions of nonlinear evolution and wave equations [J].

Malfliet, W ;

Hereman, W .

PHYSICA SCRIPTA, 1996, 54 (06) :563-568

[5] An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations [J].

Parkes, EJ ;

Duffy, BR .

COMPUTER PHYSICS COMMUNICATIONS, 1996, 98 (03) :288-300

[6] SOLITARY WAVE SOLUTIONS FOR VARIANT BOUSSINESQ EQUATIONS [J].

WANG, ML .

PHYSICS LETTERS A, 1995, 199 (3-4) :169-172

[7] EXACT SOLITARY WAVE SOLUTIONS TO A CLASS OF GENERALIZED ODD-ORDER KDV EQUATIONS [J].

YANG, ZJ .

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1995, 34 (04) :641-647

[8] TRAVELING-WAVE SOLUTIONS TO NONLINEAR EVOLUTION AND WAVE-EQUATIONS [J].

YANG, ZJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (08) :2837-2855

[9]

ZHU Z, 1996, ACTA PHYS SINICA, V45, P1777

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