Extended Generalized Hyperbolic-function Method and New Exact Solutions of the Generalized Hamiltonian and NNV Equations by the Symbolic Computation

• Autorzy: Liu J.-G. , Zeng Z.-F.

Identyfikatory

DOI

10.3233/FI-2014-1056

• Języki publikacji: EN

Abstrakty

EN

In this paper, with the aid of the computerized symbolic computation, we present an extended generalized hyperbolic-function method. Being concise and straightforward, it can be applicable to seek more types of solutions for certain nonlinear evolution equations (NLEES). In illustration, we choose the generalized Hamiltonian equations and the (2 + 1)-dimensional Nizhnik- Novikov-Veselov (NNV) equations to demonstrate the validity and advantages of the method. As a result, abundant new exact solutions are obtained including soliton-like solutions, traveling wave solutions etc. Themethod can be also applied to other nonlinear partial differential equations (NPDEs).

Słowa kluczowe

EN

symbolic computation; Nizhnik-Novikov-Veselov equations; generalized hyperbolic-function method; exact analytic solutions

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2014
• Tom: Vol. 132, nr 4
• Strony: 501--517
• Opis fizyczny: Bibliogr. 37 poz., wykr.

Twórcy

autor

Liu J.-G.

• College of Computer, Jiangxi University of Traditional Chinese Medicine JiangXi 330004, China

autor

Zeng Z.-F.

• College of Science, Nanchang University, JiangXi 330031, China

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