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Exotic Localized Coherent Structures of New (2+1)-Dimensional Soliton Equation
Authors:ZHANG Jie-Fang  HUANG Wen-Hua  ZHENG Chun-Long
Affiliation:Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China;Department of Physics, Jiangxi Yichun University, Yichun 336000, China Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China;Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China
Abstract:The variable separation approach is used to obtain localized coherent structures of the new (2 1)-dimensional nonlinear partialdifferential equation. Applying the Backlund transformation and introducing the arbitraryfunctions of the seed solutions, the abundance of the localized structures of this model are derived. Some special types ofsolutions solitoff, dromions, dromion lattice, breathers and instantons are discussed by selecting the arbitrary functionsappropriately. The breathers may breath in their amplititudes, shapes, distances among the peaks and even the numberof the peaks.
Keywords:variable separation approach   coherent structures   new (2 1)-dimensional soliton equation
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