A new method to construct Weierstrass elliptic function solutions for soliton equations | Zendy

Desheng Li | Zendy; Hongqing Zhang | Zendy

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A new method to construct Weierstrass elliptic function solutions for soliton equations

Author(s) -

Desheng Li,

Hongqing Zhang

Publication year - 2005

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.54.5540

Subject(s) - elliptic function , riccati equation , weierstrass functions , projection (relational algebra) , soliton , function (biology) , mathematics , jacobi elliptic functions , elliptic curve , mathematical analysis , algebraic riccati equation , partial differential equation , nonlinear system , physics , algorithm , quantum mechanics , evolutionary biology , biology

Utilizing the equation that has Weierstrass elliptic function solutions, we have obtained two groups of new solutions of projection Riccati equation. Because the projection Riccati equation can be used to solve nearly all kinds of non-linear evolution equations, thus we have given a method for constructing. Weierstrass elliptic function solutions for nearly all equations with soliton solutions.

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