New exact solutions to the combined KdV and mKdV equation

被引:25
作者
Peng, YZ [1 ]
机构
[1] Peking Univ, Sch Math Sci, Key Lab Pure & Appl Math, Beijing 100871, Peoples R China
关键词
combined KdV and mKdV equation; modified mapping method; exact solution; elliptic equation;
D O I
10.1023/A:1024475003055
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The modified mapping method is developed to obtain new exact solutions to the combined KdV and mKdV equation. The method is applicable to a large variety of nonlinear evolution equations, as long as odd- and even-order derivative terms do not coexist in the equation under consideration.
引用
收藏
页码:863 / 868
页数:6
相关论文
共 20 条
[1]  
BOWMAN F, 1959, INTRO ELLIPTIC FUNCT
[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]   DOMAIN-WALL SOLUTIONS OF KDV LIKE EQUATIONS WITH HIGHER-ORDER NONLINEARITY [J].
DEY, B .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (01) :L9-L12
[4]   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
[5]   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
[6]   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
[7]  
LIU SS, 2000, NONLINEAR EQUATIONS
[8]   SOLITARY WAVE SOLUTIONS OF NONLINEAR-WAVE EQUATIONS [J].
MALFLIET, W .
AMERICAN JOURNAL OF PHYSICS, 1992, 60 (07) :650-654
[9]   EXACT-SOLUTIONS TO THE COMBINED KDV AND MKDV EQUATION [J].
MOHAMAD, MNB .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1992, 15 (02) :73-78
[10]   NONLINEAR PROPAGATION OF HEAT PULSES IN SOLIDS [J].
NARAYANAMURTI, V ;
VARMA, CM .
PHYSICAL REVIEW LETTERS, 1970, 25 (16) :1105-+