Algebro-geometric solution to the modified Kadomtsev-Petviashvili equation

被引：13

作者：

Chen, JB ^{[1
]}

Geng, XG ^{[1
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Henan, Peoples R China

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2005年 / 74卷 / 08期

关键词：

mKP equation; Abel-Jacobi coordinate; algebro-geometric solution;

D O I：

10.1143/JPSJ.74.2217

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The modified Kadomtsev-Petviashvili (mKP) equation is split into two soliton equations in the modified Jaulent-Miodek (mJM) hierarchy, and further into integrable finite-dimensional Hamiltonian systems (FDHSs) using the nonlinearization of Lax pairs. The Abel-Jacobi coordinate is introduced to linearize the mKP flow such that its solution is reduced as a linear superposition, expressed in the Abel-Jacobi variable. Finally, the algebro-geometric solution of the mKP equation is given via the Jacobi inversion.

引用

页码：2217 / 2222

页数：6

共 18 条

[1] FACTORIZATION OF ENERGY-DEPENDENT SCHRODINGER-OPERATORS - MIURA MAPS AND MODIFIED SYSTEMS [J].

ANTONOWICZ, M ;

FORDY, AP .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 124 (03) :465-486

[2]

Arnold VI., 1989, MATH METHODS CLASSIC, P520, DOI 10.1007/978-1-4757-2063-1

[3]

BELOKOLOV ED, 1994, ALGEBROGEOMETRIC APP

[4]

CAO CW, 1990, SCI CHINA SER A, V33, P528

[5] Relation between the Kadometsev-Petviashvili equation and the confocal involutive system [J].

Cao, CW ;

Wu, YT ;

Geng, XG .

JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (08) :3948-3970

[6]

Cao CW., 1990, NONLINEAR PHYSICS RE, P68

[7] Algebro-geometric solutions to a hierarchy of (1+1)-dimensional and two new (2+1)-dimensional nonlinear evolution equations [J].

Chen, JB .

CHAOS SOLITONS & FRACTALS, 2004, 19 (04) :905-918

[8] THE CONSTRAINT OF THE KADOMTSEV-PETVIASHVILI EQUATION AND ITS SPECIAL SOLUTIONS [J].

CHENG, Y ;

LI, YS .

PHYSICS LETTERS A, 1991, 157 (01) :22-26

[9] Decomposition of certain nonlinear evolution equations and their quasi-periodic solutions [J].

Dai, HH ;

Geng, XG .

CHAOS SOLITONS & FRACTALS, 2002, 14 (03) :489-502

[10] Algebro-geometric solutions of (2+1)-dimensional coupled modified Kadomtsev-Petviashvili equations [J].

Geng, XG ;

Dai, HH .

JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (01) :337-348

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