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Zbl 1078.35108
Wazwaz, Abdul-Majid
The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants.
(English)
[J] Commun. Nonlinear Sci. Numer. Simul. 11, No. 2, 148-160 (2006). ISSN 1007-5704

Summary: The modified equal width equation $$u_t+ 3u^2u_x- \alpha u_{xxt}=0$$ and two of its variants are investigated. The strategy here rests mainly on a sine-cosine ansatz and the tanh method. Both schemes work well and reveal exact solutions with distinct physical structures. The obtained solutions include compactons, solitons, solitary patterns, and periodic solutions.
MSC 2000:
*35Q53 KdV-like equations
37K40 Soliton theory, asymptotic behavior of solutions
35C05 Solutions of PDE in closed form
65M99 Numerical methods for IVP of PDE

Keywords: compactons; periodic solutions; tanh method; regularized long wave equation

Cited in: Zbl 1148.35079

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