Solitary Waves and Their Interactions in the Cylindrical Korteweg–De Vries Equation

Abstract

We consider approximate, exact, and numerical solutions to the cylindrical Korteweg–de Vries equation. We show that there are different types of solitary waves and obtain the dependence of their parameters on distance. Then, we study the interaction of solitary waves of different types.

Keywords

• nonlinear wave
• cylindrical Korteweg–De Vries equation
• soliton
• self-similar solitary wave