Journal of Nonlinear Mathematical Physics

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Volume 18, Issue 2, June 2011, Pages 191 - 203

Decomposition of the Modified Kadomtsev–Petviashvili Equation and its Finite Band Solution

Authors
Jinbing Chen*, ‡, Zhijun Qiao†, §
*Department of Mathematics, Southeast University, Nanjing, Jiangsu 210096, P. R. China
†Department of Mathematics, University of Texas–Pan American, Edinburg, TX 78541, USA
Received 5 April 2010, Accepted 4 October 2010, Available Online 7 January 2021.
DOI
10.1142/S1402925111001428How to use a DOI?
Keywords
mKP equation; Jacobi inversion; finite band solution
Abstract

The modified Kadomtsev–Petviashvili (mKP) equation is revisited from two 1 + 1-dimensional integrable equations whose compatible solutions yield a special solution of the mKP equation in view of a transformation. By employing the finite-order expansion of Lax matrix, the mKP equation is reduced to three solvable ordinary differential equations (ODEs). The associated flows induced by the mKP equation are linearized under the Abel–Jacobi coordinates on a Riemann surface. Finally, a finite band solution expressed by Riemann-theta functions for the mKP equation is obtained through the Jacobi inversion.

Copyright
© 2011 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
18 - 2
Pages
191 - 203
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925111001428How to use a DOI?
Copyright
© 2011 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - Jinbing Chen
AU  - Zhijun Qiao
PY  - 2021
DA  - 2021/01/07
TI  - Decomposition of the Modified Kadomtsev–Petviashvili Equation and its Finite Band Solution
JO  - Journal of Nonlinear Mathematical Physics
SP  - 191
EP  - 203
VL  - 18
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925111001428
DO  - 10.1142/S1402925111001428
ID  - Chen2021
ER  -