New explicit solutions for (2 + 1)-dimensional soliton equation |
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| Authors: | Caier Ye Weiguo Zhang |
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| Institution: | a School of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
b College of Science, Zhejiang Agriculture and Forestry University, Zhejiang, Lin’an 311300, China |
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| Abstract: | In this Letter, we study (2 + 1)-dimensional soliton equation by using the bifurcation theory of planar dynamical systems. Following a dynamical system approach, in different parameter regions, we depict phase portraits of a travelling wave system. Bell profile solitary wave solutions, kink profile solitary wave solutions and periodic travelling wave solutions are given. Further, we present the relations between the bounded travelling wave solutions and the energy level h. Through discussing the energy level h, we obtain all explicit formulas of solitary wave solutions and periodic wave solutions. |
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