Lax representation and soliton solutions for the (2+ 1)-dimensional two-component complex modified Korteweg-de Vries equations
GT Bekova, GN Shaikhova… - Journal of Physics …, 2017 - iopscience.iop.org
Journal of Physics: Conference Series, 2017•iopscience.iop.org
Under investigation in this paper is the (2+ 1)-dimensional two-component complex modified
Korteweg-de Vries (tcmKdV) equations. Based on the Ablowitz-Kaup-Newell-Segur system,
the a new Lax representation is derived of the tcmKdV equations. By Darboux transformation
method soliton solutions for the tcmKdV equations are obtained, respectively.
Korteweg-de Vries (tcmKdV) equations. Based on the Ablowitz-Kaup-Newell-Segur system,
the a new Lax representation is derived of the tcmKdV equations. By Darboux transformation
method soliton solutions for the tcmKdV equations are obtained, respectively.
Abstract
Under investigation in this paper is the (2+ 1)-dimensional two-component complex modified Korteweg-de Vries (tcmKdV) equations. Based on the Ablowitz-Kaup-Newell-Segur system, the a new Lax representation is derived of the tcmKdV equations. By Darboux transformation method soliton solutions for the tcmKdV equations are obtained, respectively.
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