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Zbl 1182.35063
Gomez S., Cesar A.; Salas, Alvaro
Solutions for a class of fifth-order nonlinear partial differential system. (English)
[J] J. Math. Sci. Adv. Appl. 3, No. 1, 121-128 (2009). ISSN 0974-5750

Summary: We use the generalized tanh method to obtain exact solutions for a class of fifth-order nonlinear systems $$\align u_t&+\rho u_{xxxxx}+\gamma uu_{xxx}+\beta u_xu_{xx}+\alpha u^2u_x-w_x=0,\\ w_t&+ 6wu_{xxx}+ 2u_{xx}w_x- 96wuu_x- 16w_xu^2=0. \endalign$$ A particular case is given by the integrable Mikhailov-Novikov-Wang system (MNW). Periodic and solitons solutions are formally derived. The Mathematica is used.

MSC 2000:: *35C05 Solutions of PDE in closed form
35B10 Periodic solutions of PDE
35C08
35G50

Keywords: generalized tanh method; integrable Mikhailov-Novikov-Wang system

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Zentralblatt MATH Berlin [Germany]