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Some solutions for a type of generalized Sawada-Kotera equation. (English) Zbl 1132.35461

Summary: We consider a particular case of the general KdV fifth-order differential equation. Some solutions are obtained by the projective Riccati equation method with the aid of \(\copyright \) Mathematica.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35-04 Software, source code, etc. for problems pertaining to partial differential equations

Software:

Mathematica
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Full Text: DOI

References:

[1] Yan, Z., The Riccati equation with variable coefficients expansion algorithm to find more exact solutions of nonlinear differential equation, MMRC, AMSS, Academis Sinica, Beijing, 22, 275-284 (2003)
[2] A. Salas & C. Gomez, El mathematica en la busqueda de soluciones exactas para ecuaciones differenciales parciales lineales y no lineales, Primer Simposio Internacional del uso de Tecnologias en eduación matemática. Universidad Pedagógica Nacional 1 (2005).; A. Salas & C. Gomez, El mathematica en la busqueda de soluciones exactas para ecuaciones differenciales parciales lineales y no lineales, Primer Simposio Internacional del uso de Tecnologias en eduación matemática. Universidad Pedagógica Nacional 1 (2005).
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