Auxiliary equation method and new solutions of Klein-Gordon equations
被引:130
作者:
Sirendaoreji
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机构:
Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Inner Mongolia, Peoples R ChinaInner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Inner Mongolia, Peoples R China
Sirendaoreji
[1
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机构:
[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Inner Mongolia, Peoples R China
Many new types of exact solutions of an auxiliary ordinary differential equation are introduced. They are used to generate new exact travelling wave solutions of the quadratic and the cubic nonlinear Klein-Gordon equations. This approach is also applicable to a large variety of nonlinear partial differential equations. (c) 2005 Elsevier Ltd. All rights reserved.