@article{(Open Science Index):https://publications.waset.org/pdf/16756, title = {The Direct Ansaz Method for Finding Exact Multi-Wave Solutions to the (2+1)-Dimensional Extension of the Korteweg de-Vries Equation}, author = {Chuanjian Wang and Changfu Liu and Zhengde Dai}, country = {}, institution = {}, 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. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {7}, number = {5}, year = {2013}, pages = {872 - 874}, ee = {https://publications.waset.org/pdf/16756}, url = {https://publications.waset.org/vol/77}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 77, 2013}, }