Algebro-Geometric Solution to Two New (2+1)-Dimensional Modified Kadomtsev--Petviashvili Equations

Chin. Phys. Lett.

2006, Vol. 23

Issue (10): 2629-2632 DOI:

Original Articles

Algebro-Geometric Solution to Two New (2+1)-Dimensional Modified Kadomtsev--Petviashvili Equations

WU Yong-Qi

Department of Mathematics, Zhengzhou University, Zhengzhou 450052 Department of Mathematics, Zhanjiang Normal University, Zhanjiang 524048

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WU Yong-Qi 2006 Chin. Phys. Lett. 23 2629-2632

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Abstract Two new (2+1)-dimensional modified Kadomtsev--Petviashvili (mKP) equations are presented, which are related to a hierarchy of (1+1)-dimensional soliton equations. Through the nonlinearization of Lax pair and the Riemann--Jacobi inversion technique, the algebro-geometric solutions of both the mKP equations are obtained.

Keywords: 02.30.Jr

Published: 01 October 2006

PACS:

02.30.Jr

(Partial differential equations)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2006/V23/I10/02629

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