More on linear superposition method for the (2+1)－dimensional nonlinear wave equations | Zendy

Xian-Jing Lai | Zendy; Zhang Jie-Fang | Zendy

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More on linear superposition method for the (2+1)－dimensional nonlinear wave equations

Author(s) -

Xian-Jing Lai,

Zhang Jie-Fang

Publication year - 2004

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.53.4065

Subject(s) - superposition principle , elliptic function , nonlinear system , jacobi elliptic functions , periodic wave , mathematical analysis , traveling wave , mathematics , physics , quantum mechanics

In this paper, we find periodic solutions with different periods and velocities to the (2+1)-dimensional general Schdinger and Boussinesq equations by making approprite linear superpositions of known periodic travelling wave solutions in volving Jacobi elliptic functions.It is noteworthy that this linear superpositio n procedure works by virtue of some remarkable new identities involving elliptic functions.

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