Periodic and Solitary‐Wave Solutions for a Variant of the K(3, 2) Equation | Zendy

Jiangbo Zhou | Zendy; Lixin Tian | Zendy

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Periodic and Solitary‐Wave Solutions for a Variant of the K(3, 2) Equation

Author(s) -

Jiangbo Zhou,

Lixin Tian

Publication year - 2011

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2011/582512

Subject(s) - mathematics , traveling wave , bifurcation , periodic wave , planar , mathematical analysis , bounded function , dynamical systems theory , bifurcation theory , polynomial , differential equation , nonlinear system , physics , computer science , computer graphics (images) , quantum mechanics

We employ the bifurcation method of planar dynamical systems and qualitative theory of polynomial differential systems to derive new bounded traveling-wave solutions for a variant of the K(3,2) equation. For the focusing branch, we obtain hump-shaped and valley-shaped solitary-wave solutions and some periodic solutions. For the defocusing branch, the nonexistence of solitary traveling wave solutions is shown. Meanwhile, some periodic solutions are also obtained. The results presented in this paper supplement the previous results

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