A kink-antikink soliton propagating with varying velocity
- 1 June 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (8) , 1611-1621
- https://doi.org/10.1088/0305-4470/16/8/009
Abstract
Using their previous KdV solution (1982), the authors apply a Backlund transformation to obtain new sets of solutions to another nonlinear equation yt+yxxx-6y2yx+6yx=0 based on theorems deduced recently. The solutions to the above equation can be separated into three categories: lambda >0, lambda =0, lambda 0 and lambda =0. Many numerical examples are given to illustrate the main features of some of the new solutions.Keywords
This publication has 3 references indexed in Scilit:
- Bridge between the solutions and vacuum states of the Korteweg—de Vries equation and that of the nonlinear equationPhysical Review B, 1982
- Vacuum states of the Korteweg — De Vries equationPhysical Review B, 1982
- Prolongation structures of nonlinear evolution equationsJournal of Mathematical Physics, 1975