The multisoliton solutions for the mKPI equation with self-consistent sources

被引：9

作者：

Deng, Shu-fang ^{[1
]}

机构：

[1] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2006年 / 39卷 / 48期

关键词：

D O I：

10.1088/0305-4470/39/48/007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The modified Kadomtsev-Petviashvili I equation with self-consistent sources (mKPIESCS) is derived through the linear problem of the modified Kadomtsev-Petviashvili I (mKPI) system. The bilinear form of the mKPIESCS is given and the N-soliton solutions are obtained through the Hirota method and the Wronskian technique, respectively. The coincidence of these solutions is shown by direct computation.

引用

页码：14929 / 14945

页数：17

共 26 条

[1] NONLINEAR RESONANT SCATTERING AND PLASMA INSTABILITY - AN INTEGRABLE MODEL [J].

CLAUDE, C ;

LATIFI, A ;

LEON, J .

JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (12) :3321-3330

[2] The multisoliton solutions of the KP equation with self-consistent sources [J].

Deng, SF ;

Chen, DY ;

Zhang, DJ .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2003, 72 (09) :2184-2192

[3]

DOKTOROV EV, 1991, OPT ACTA, V30, P3321

[4] SOLITON-SOLUTIONS OF NON-LINEAR EVOLUTION-EQUATIONS [J].

FREEMAN, NC .

IMA JOURNAL OF APPLIED MATHEMATICS, 1984, 32 (1-3) :125-145

[5]

Gesztesy F., 1991, REP MATH PHYS, V30, P205, DOI [10.1016/0034-4877(91)90025-I, DOI 10.1016/0034-4877(91)90025-I]

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

HIROTA, R .

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

[7] SOLITONS AND INFINITE DIMENSIONAL LIE-ALGEBRAS [J].

JIMBO, M ;

MIWA, T .

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1983, 19 (03) :943-1001

[8] SOLUTION OF AN INITIAL BOUNDARY-VALUE PROBLEM FOR COUPLED NONLINEAR-WAVES [J].

LEON, J ;

LATIFI, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (08) :1385-1403

[9] NONLINEAR EVOLUTIONS WITH SINGULAR DISPERSION-LAWS AND FORCED SYSTEMS [J].

LEON, J .

PHYSICS LETTERS A, 1990, 144 (8-9) :444-452

[10] Solving the KdV hierarchy with self-consistent sources by inverse scattering method [J].

Lin, RL ;

Zeng, YB ;

Ma, WX .

PHYSICA A, 2001, 291 (1-4) :287-298

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