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Zbl 1193.35181
Biswas, Anjan
1-soliton solution of the $K(m,n)$ equation with generalized evolution and time-dependent damping and dispersion. (English)
[J] Comput. Math. Appl. 59, No. 8, 2536-2540 (2010). ISSN 0898-1221

Summary: This paper obtains the 1-soliton solution of the $K(m,n)$ equation with generalized evolution in the presence of linear damping. The dispersion and linear damping terms have time-dependent coefficients. An exact 1-soliton solution is obtained for this equation together with the constraint between these time-dependent coefficients for the solitons to exist.
MSC 2000:
*35Q53 KdV-like equations
35Q51 Solitons
35C08

Keywords: solitary waves; time-dependent coefficients

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