Article ID Journal Published Year Pages File Type
7154391 Communications in Nonlinear Science and Numerical Simulation 2019 24 Pages PDF
Abstract
We present the inverse scattering transform for the TD equation, which is related to the Heisenberg spin equation. We note that the TD equation is an integrable model with high nonlinearity, and has singularity at zero. Thus a nonzero boundary condition is introduced in the direct scattering problem. We obtain the N-solitonic solution of the TD equation, and give the Kuznetsov-Ma type solution, rational solution and Akhmediev type breather.
Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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