New kinds of solutions to Gardner equation

被引：100

作者：

Fu, ZT ^{[1
]}

Liu, SD ^{[1
]}

Liu, SK ^{[1
]}

机构：

[1] Peking Univ, Sch Phys Bldg Phys, Beijing 100871, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2004年 / 20卷 / 02期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/S0960-0779(03)00383-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On the basis of analysis to the projective Riccati equations, an intermediate transformation in expansion method is constructed. And this transformation is applied to solve Gardner equation, there many new kinds of travelling wave solutions including solitary wave solution are obtained, in which some are found for the first time. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：301 / 309

页数：9

共 17 条

[1] Exact solutions for nonlinear partial differential equation: a new approach [J].

Bai, CL .

PHYSICS LETTERS A, 2001, 288 (3-4) :191-195

[2] ON SERIES EXPANSIONS GIVING CLOSED-FORM SOLUTIONS OF KORTEWEG-DEVRIES-LIKE EQUATIONS [J].

COFFEY, MW .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1990, 50 (06) :1580-1592

[3]

CONTE R, 1992, J PHYS A, V25, P2609

[4] Extended tanh-function method and its applications to nonlinear equations [J].

Fan, EG .

PHYSICS LETTERS A, 2000, 277 (4-5) :212-218

[5] New transformations and new approach to find exact solutions to nonlinear equations [J].

Fu, ZT ;

Liu, SK ;

Liu, SD .

PHYSICS LETTERS A, 2002, 299 (5-6) :507-512

[6] New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations [J].

Fu, ZT ;

Liu, SK ;

Liu, SD ;

Zhao, Q .

PHYSICS LETTERS A, 2001, 290 (1-2) :72-76

[7] MODIFIED KORTEWEG DE VRIES EQUATION FOR ION-ACOUSTIC WAVES [J].

KONNO, K ;

ICHIKAWA, YH .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1974, 37 (06) :1631-1636

[8] Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations [J].

Liu, SK ;

Fu, ZT ;

Liu, SD ;

Zhao, Q .

PHYSICS LETTERS A, 2001, 289 (1-2) :69-74

[9] SOLITARY WAVE SOLUTIONS AND CNOIDAL WAVE SOLUTIONS TO THE COMBINED KDV AND MKDV EQUATION [J].

LOU, SY ;

CHEN, LL .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1994, 17 (05) :339-347

[10] EXACT-SOLUTIONS TO THE COMBINED KDV AND MKDV EQUATION [J].

MOHAMAD, MNB .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1992, 15 (02) :73-78

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