The direct Ansäz method for finding exact multi-wave solutions to the (2+1)-dimensional extension of the Korteweg de-Vries equation
نویسندگان
چکیده
In this paper, the direct Ansäz method is used for constructing the multi-wave solutions to the (2+1)-dimensional extension of the Korteweg de-Vries (shortly EKdV) equation. A new breather type of three-wave solutions including periodic breather type soliton solution, breather type of two-solitary solution are obtained. Some cases with specific values of the involved parameters are plotted for each of the three-wave solutions. Mechanical features of resonance interaction among the multi-wave are discussed. These results enrich the variety of the dynamics of higher-dimensional nonlinear wave field. Keywords—EKdV equation; Breather; Soliton; Bilinear form; The direct Ansäz method.
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