Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7154391 | Communications in Nonlinear Science and Numerical Simulation | 2019 | 24 Pages |
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.
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Authors
Junyi Zhu, Linlin Wang,