Abstract
It is shown that a variety of soliton equations including the KdV equation, the modified (or Gardner) equation, and the Boussinesq equation, the modified Boussinesq equation, the coupled KdV equation, the classical Boussinesq equation and the nonlinear Schrödinger equation exhibiting dark-soliton are obtained by “reductions” of the hierarchy of the KP (Kadomtsev-Petviashvili) equation in bilinear form. A reduction of the BKP equation generates the “KdV + Sawada-Kotera equation” which exhibits resonances of solitons.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.