The multisoliton solutions for the nonisospectral mKP equation. (English) Zbl 1197.81118
Summary: The bilinear form for the nonisospectral mKP equation is obtained and some exact soliton solutions are derived through Hirota method and Wronskian technique. We also derive the bilinear Bäcklund transformations for the nonisospectral mKP equation and find solutions with the help of the obtained bilinear Bäcklund transformations.
MSC:
81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
35Q53 | KdV equations (Korteweg-de Vries equations) |
35Q51 | Soliton equations |
37K40 | Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems |
Keywords:
nonisospectral mKP equation; Hirota method; Wronskian technique; bilinear Bäcklund transformationReferences:
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