Exact Solution of the Modified Korteweg-de Vries Equation for Multiple Collisions of Solitons
- 1 November 1972
- journal article
- research article
- Published by Physical Society of Japan in Journal of the Physics Society Japan
- Vol. 33 (5) , 1456-1458
- https://doi.org/10.1143/jpsj.33.1456
Abstract
An exact solution has been obtained for the modified Korteweg-de Vries equation, \(\frac{\partial v}{\partial t}+24 v^{2}\frac{\partial v}{\partial x}+\frac{\partial^{3}v}{\partial x^{3}}{=}0\), for the case of multiple collisions of solitons with different amplitude.
Keywords
This publication has 3 references indexed in Scilit:
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of SolitonsPhysical Review Letters, 1971
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear TransformationJournal of Mathematical Physics, 1968
- A Synergetic Approach to Problems of Nonlinear Dispersive Wave Propagation and Interaction††This paper is dedicated to Professor L. Biermann on his sixtieth birthday. I would like to express my gratitude to Professor Biermann and his Institute of Astrophysics of the Max-Planck-Institute for Physics and Astrophysics for the support they gave to the International School of Nonlinear Mathematics and Physics held in Munich during the summer of 1966.Published by Elsevier ,1967