SOLITARY WAVE SOLUTIONS AND CNOIDAL WAVE SOLUTIONS TO THE COMBINED KDV AND MKDV EQUATION

被引：26

作者：

LOU, SY

CHEN, LL

机构：

[1] NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA

[2] NINGBO NORMAL COLL,DEPT PHYS,NINGBO 315211,PEOPLES R CHINA

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1994年 / 17卷 / 05期

关键词：

D O I：

10.1002/mma.1670170503

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a mapping approach for the construction of exact solutions to the combined KdV and mKdV equation. There exist two types or soliton solutions which will reduce back to those of the KdV and mKdV equations in some appropriate limits. Four types of the general enoidal wave solutions are also obtained.

引用

收藏

页码：339 / 347

页数：9

相关论文

共 12 条

[1] 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

[2] 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

[3] 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

[4] TRAVELING WAVE SOLUTIONS TO CERTAIN NON-LINEAR EVOLUTION-EQUATIONS [J].

JEFFREY, A ;

XU, SQ .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1989, 24 (05) :425-429

[5] 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

[6] THE RELATIONS AMONG A SPECIAL TYPE OF SOLUTIONS IN SOME (D+1)-DIMENSIONAL NONLINEAR EQUATIONS [J].

LOU, SY ;

NI, GJ .

JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (07) :1614-1620

[7] KORTEWEG-DE VRIES EQUATION AND GENERALIZATIONS .2. EXISTENCE OF CONSERVATION LAWS AND CONSTANTS OF MOTION [J].

Miura, RM ;

GARDNER, CS ;

KRUSKAL, MD .

JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (08) :1204-+

[8] KORTEWEG-DE VRIES EQUATION AND GENERALIZATIONS .I. A REMARKABLE EXPLICIT NONLINEAR TRANSFORMATION [J].

MIURA, RM .

JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (08) :1202-&

[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-+