Open AccessA new method to construct Weierstrass elliptic function solutions for soliton equations
Author(s) -
Desheng Li,
Hongqing Zhang
Publication year - 2005
Publication title -
wuli xuebao
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.