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Zbl 1221.65219
Esen, A.; Kutluay, S.
Solitary wave solutions of the modified equal width wave equation. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 13, No. 8, 1538-1546 (2008). ISSN 1007-5704

Summary: We use a linearized numerical scheme based on finite difference method to obtain solitary wave solutions of the one-dimensional modified equal width (MEW) equation. Two test problems including the motion of a single solitary wave and the interaction of two solitary waves are solved to demonstrate the efficiency of the proposed numerical scheme. The obtained results show that the proposed scheme is an accurate and efficient numerical technique in the case of small space and time steps. A stability analysis of the scheme is also investigated.

MSC 2000:: *65M06 Finite difference methods (IVP of PDE)
35Q53 KdV-like equations
35Q51 Solitons

Keywords: MEW equation; linearized implicit finite-difference; solitary waves

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Zentralblatt MATH Berlin [Germany]