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New exact travelling wave solutions of some complex nonlinear equations

✍ Scribed by Ahmet Bekir

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
203 KB
Volume
14
Category
Article
ISSN
1007-5704

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✦ Synopsis

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In this paper, we establish exact solutions for complex nonlinear equations. The tanh-coth and the sine-cosine methods are used to construct exact periodic and soliton solutions of these equations. Many new families of exact travelling wave solutions of the coupled Higgs and Maccari equations are successfully obtained. These solutions may be important of significance for the explanation of some practical physical problems.

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By using some exact solutions of an auxiliary ordinary differential equation, a new direct algebraic method is described to construct the exact complex solutions for nonlinear partial differential equations. The method is implemented for the complex coupled KdV equations and modified KdV equation. N