Solitary wave solutions of nonlinear equations |
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| Affiliation: | 1. Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, China;1. School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510631, China;2. Key Laboratory of Atomic and Subatomic Structure and Quantum Control (Ministry of Education), Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, School of Physics, South China Normal University, Guangzhou 510006, China;3. Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, Guangdong-Hong Kong Joint Laboratory of Quantum Matter, South China Normal University, Guangzhou 510006, China;1. Department of Physical and Environmental Sciences, University of Toronto Scarborough, Toronto, Ontario, Canada;2. Department of Ecology and Evolutionary Biology, University of Toronto, Toronto, Ontario, Canada;3. Commonwealth Scientific and Industrial Research Organisation – Environment, Tasmania, Australia;4. Centre for Marine Sociology, University of Tasmania, Hobart, Australia;1. Flanders Marine Institute (VLIZ), Jacobsenstraat 1, 8400 Ostend, Belgium;2. Biology Department, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, Belgium;3. Biology Department, Marine Biology, Ghent University, Krijgslaan 281-S8, 9000 Ghent, Belgium;1. Department of Mathematics and Physics, University of Stavanger, 4036 Stavanger, Norway;2. AEC, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland;1. University of Rhode Island, Department of Ocean Engineering, 215 South Ferry Rd., Narragansett, RI, USA;2. University of Rhode Island, Graduate School of Oceanography, Narragansett, RI, USA;3. Bermuda Institute of Ocean Sciences, Arizona State University, St. George''s, Bermuda;4. University of Salford, Manchester, UK |
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| Abstract: | A general semi-analytic method is suggested to obtain the solitary wave solutions for some kinds of nonlinear equations, by the combination of the function-series method and the simulated annealing technique. The validity and reliability of the method are tested by applying it to the study of a generalized φ4 equation. With the proper boundary and initial conditions, pulse-, kink- and breather-like solitons and their combinations are obtained. |
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