A new method for studying the interaction of solitons for nonintegrable KdV-type equations with small dispersion is presented. Weak asymptotics method and the interaction of infinitely narrow δ-solitons is discussed. The solution is considered as a generalized function and the asymptotics are also calculated.
|Number of pages
|Nonlinear Analysis, Theory, Methods and Applications
|Published - Aug 2003
Bibliographical noteFunding Information:
This research was supported by the Russian Foundation for Basic Research under Grant No. 99-01-01074.
- KdV-type equation
- Small dispersion