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Analytic method for solitary solutions of some partial differential equations. (English) Zbl 1209.81110

Summary: By considering an improved tanh function method, we find some exact solutions of the clannish random walker’s parabolic equation, the modified Korteweg-de Vries (KdV) equation, and the Sharma-Tasso-Olver (STO) equation with its fission and fusion, the Jaulent-Miodek equation.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
35Q51 Soliton equations
35Q53 KdV equations (Korteweg-de Vries equations)
35R60 PDEs with randomness, stochastic partial differential equations

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References:

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