Application of Symbolic Computation in Nonlinear Evolution Equations

被引：0

作者：

Zhang, Yuanyuan ^{[1
]}

机构：

[1] China Three Gorges Univ Yichang, Coll Sci, Yichang, Peoples R China

来源：

ICAIE 2009: PROCEEDINGS OF THE 2009 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND EDUCATION, VOLS 1 AND 2 | 2009年

关键词：

Symbolic Computation; Hirota method; Wronskian determinant technique; DE-VRIES EQUATION; SOLITON-SOLUTIONS; KORTEWEG-DEVRIES;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, with the help of the symbolic computation system Maple, the exact solutions of the variable-coefficient Kadomtsev-Petviashvili (vcKP) equation are obtained through the Hirota method and the Wronskian determinant technique.

引用

页码：362 / 364

页数：3

共 10 条

[1]

Ablowitz M., 1991, Soliton, Nonlinear Evolution Equations and Inverse Scattering

[2] SOLITON-SOLUTIONS OF THE KORTEWEG-DEVRIES AND KADOMTSEV-PETVIASHVILI EQUATIONS - THE WRONSKIAN TECHNIQUE [J].

FREEMAN, NC ;

NIMMO, JJC .

PHYSICS LETTERS A, 1983, 95 (01) :1-3

[3] METHOD FOR SOLVING KORTEWEG-DEVRIES EQUATION [J].

GARDNER, CS ;

GREENE, JM ;

KRUSKAL, MD ;

MIURA, RM .

PHYSICAL REVIEW LETTERS, 1967, 19 (19) :1095-&

[4] EXACT SOLUTION OF KORTEWEG-DE VRIES EQUATION FOR MULTIPLE COLLISIONS OF SOLITONS [J].

HIROTA, R .

PHYSICAL REVIEW LETTERS, 1971, 27 (18) :1192-+

[5] Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions [J].

Ma, WX ;

You, YC .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 357 (05) :1753-1778

[6] Rational solutions of the Toda lattice equation in Casoratian form [J].

Ma, WX ;

You, YC .

CHAOS SOLITONS & FRACTALS, 2004, 22 (02) :395-406

[7] Wronskians, generalized Wronskians and solutions to the Korteweg-de Vries equation [J].

Ma, WX .

CHAOS SOLITONS & FRACTALS, 2004, 19 (01) :163-170

[8] GENERALIZED WRONSKIAN FORMULA FOR SOLUTIONS OF THE KDV EQUATIONS - 1ST APPLICATIONS [J].

MATVEEV, VB .

PHYSICS LETTERS A, 1992, 166 (3-4) :205-208

[9] Negatons, positons, rational-like solutions and conservation laws of the Korteweg-de Vries equation with loss and non-uniformity terms [J].

Zhang, DJ ;

Chen, DY .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (03) :851-865

[10] The N-soliton solutions of some soliton equations with self-consistent sources [J].

Zhang, DJ .

CHAOS SOLITONS & FRACTALS, 2003, 18 (01) :31-43

← 1 →