Periodic Soliton Solutions to the Davey–Stewartson Equation
نویسندگان
چکیده
The periodic soliton resonances and recurrent wave solutions to the Davey–Stewartson equation are presented. The solutions that described the interaction between a y-periodic soliton and a line soliton are analyzed to show the existence of the soliton resonances. The various recurrent solutions (The growing-and-decaying mode, breather and rational growing-anddecaying mode solutions) are presented. The y-periodic soliton and breather solutions can be constructed as the imbricate series of algebraic soliton solutions and rational growingand-decaying mode solutions, respectively.
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