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Multisoliton complexes moving on a cnoidal wave background
Phys. Rev. E 71, 036628 – Published 31 March, 2005
DOI: https://doi.org/10.1103/PhysRevE.71.036628
Abstract
We obtain solutions of coupled nonlinear Schrödinger equations which describe multisoliton complexes moving on a cnoidal-wave background. Our method is based on the Darboux transformation, which uses Sym’s solution of the associated linear equation. Solutions are presented in a matrix determinant form, matrix elements of which are expressed in terms of Jacobi’s elliptic functions. Some characteristics of multisoliton complexes like widths and amplitudes are explicitly calculated.
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