Localized Excitations of (2+1)-Dimensional Korteweg-de Vries System Derived from a Periodic Wave Solution |
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Authors: | QIANG Ji-Ye FEI Jin-Xi CAI Gui-Ping ZHENG Chun-Long |
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Affiliation: | 1. College of Physics and Mathematics, Zhejiang Lishui University, Lishui 323000, China;2. Biophysics Department, Yunnan Agricultural University, Kunming 650201, China;3. Institute of Educational Science, Wenzhou University, Wenzhou 325035, China |
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Abstract: | With the aid of an improved projective approach and a linear variable separation method,new types of variable separation solutions (including solitary wave solutions,periodic wave solutions,and rational function solutions)with arbitrary functions for (2 1)-dimensional Korteweg-de Vries system are derived.Usually,in terms of solitary wave solutions and rational function solutions,one can find some important localized excitations.However,based on the derived periodic wave solution in this paper,we find that some novel and significant localized coherent excitations such as dromions,peakons,stochastic fractal patterns,regular fractal patterns,chaotic line soliton patterns as well as chaotic patterns exist in the KdV system as considering appropriate boundary conditions and/or initial qualifications. |
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Keywords: | improved projective approach KdV system chaos soliton fractal |
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