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Zbl 1182.65161
Rui, Weiguo; Long, Yao; He, Bin; Li, Zhenyang
Integral bifurcation method combined with computer for solving a higher order wave equation of KdV type. (English)
[J] Int. J. Comput. Math. 87, No. 1, 119-128 (2010). ISSN 0020-7160; ISSN 1029-0265/e

Summary: The integral bifurcation method combined with computer methods was used to study a higher order wave equation of Korteweg-de Vries (KdV) type. Under different parameter conditions, many integral bifurcations are obtained. By these integral bifurcations, using the software Maple, we have obtained many exact travelling wave solutions such as periodic soliton solutions and periodic cusp wave solutions, solitary wave solutions, and solitary cusp wave solutions.

MSC 2000:: *65M70 Spectral, collocation and related methods (IVP of PDE)
35Q51 Solitons
35Q53 KdV-like equations

Keywords: integral bifurcation method; higher order wave equation of KdV type; periodic cusp wave solution; periodic soliton solution; solitary cusp solutions; Korteweg-de Vries (KdV)

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Zentralblatt MATH Berlin [Germany]