Exact three-wave solution for higher dimensional KdV-type equation. (English) Zbl 1188.35169

Wang, Chuanjian; Dai, Zhengde; Liang, Lin

Appl. Math. Comput. 216, No. 2, 501-505 (2010).

Summary: A new periodic type of three-wave solutions including periodic two-solitary solution, doubly periodic solitary solution and breather type of two-solitary solution for the \((1+2)\)-dimensional and \((1+3)\)-dimensional KdV-type equations are obtained using Hirota’s bilinear form and generalized three-wave type of ansatz approach.

MSC:

35Q53	KdV equations (Korteweg-de Vries equations)
35C08	Soliton solutions
35B10	Periodic solutions to PDEs
35A24	Methods of ordinary differential equations applied to PDEs

Keywords:

two-solitary-wave; doubly periodic solution; generalized ansatz approach; KdV-type equation; bilinear form

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