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New Exact Solutions for Konopelchenko-Dubrovsky Equation Using an Extended Riccati Equation Rational Expansion Method 被引量:5

New Exact Solutions for Konopelchenko-Dubrovsky Equation Using an Extended Riccati Equation Rational Expansion Method
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摘要 作为一个简单例子,合理正式夸张函数解决方案的一些家庭,合理正式三角形的周期的解决方案,和合理解决方案拿 Konopelchenko-Dubrovsky 系统被使用合理扩大方法由我们介绍了的扩大 Riccati 方程构造。方法能也被使用解决更多的非线性的部分微分方程或方程。 Taking the Konopelchenko-Dubrovsky system as a simple example, some familles of rational formal hyperbolic function solutions, rational formal triangular periodic solutions, and rational solutions are constructed by using the extended Riccati equation rational expansion method presented by us. The method can also be applied to solve more nonlinear partial differential equation or equations.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第5期I0003-I0003,770-776,共8页 理论物理通讯(英文版)
基金 The project partially supported by the State Key Basic Research Program of China under Grant No. 2004CB318000
关键词 Konopelchenko-Dubrovsky方程 延长Riccati方程有理扩展法 非线性局部微分方程 理论物理 Konopelchenko-Dubrovsky equation, extended Riccati equation rational expansion method, nonlinear partial differential equation or equations
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