Darboux transformations of classical Boussinesq system and its new solutions. (English) Zbl 1115.35329
Summary: Two basic Darboux transformations of a spectral problem associated with a classical Boussinesq system are considered in this letter. They are used to generate new solutions of the classical Boussinesq system. An interesting solution of double-peak soliton has been found.
MSC:
35K15 | Initial value problems for second-order parabolic equations |
35A22 | Transform methods (e.g., integral transforms) applied to PDEs |
35Q35 | PDEs in connection with fluid mechanics |
35Q51 | Soliton equations |
37K40 | Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems |
References:
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