{"title":"The Direct Ansaz Method for Finding Exact Multi-Wave Solutions to the (2+1)-Dimensional Extension of the Korteweg de-Vries Equation","authors":"Chuanjian Wang, Changfu Liu, Zhengde Dai","volume":77,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":872,"pagesEnd":875,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/16756","abstract":"
In this paper, the direct AnsAz 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.<\/p>\r\n","references":"
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