New Homoclinic and Heteroclinic Solutions for Zakharov System |
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Authors: | WANG Chuan-Jian DAI Zheng-De MU Gui |
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Affiliation: | 1. Department of Mathematics, Kunming University of Science and Technology, Kunming 650093, China;2. School of Mathematics and Physics, Yunnan University, Kunming 650091, China;3. College of Mathematics and Information Science, Qujing Normal University University, Qujing 655000, China |
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Abstract: | A new type of homoclinic and heteroclinic solutions, i.e. homoclinic and heteroclinic breather solutions, for Zakharov system are obtained using extended homoclinic test and two-soliton methods, respectively. Moreover, the homoclinic and heteroclinic structure with local oscillation and mechanical feature different from homoclinic and heterocliunic solutions are investigated. Result shows complexity of dynamics for complex nonlinear evolution system. Moreover, the similarities and differences between homoclinic (heteroclinic) breather and homoclinic (heteroclinic) tube are exhibited. These results show that the diversity of the structures of homoclinic and heteroclinic solutions. |
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Keywords: | homoclinic wave heteroclinic wave breather type homoclinic test Zakharov system |
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