Solitary Waves and Their Interactions in the Cylindrical Korteweg–De Vries Equation
Wen‐Cheng Hu, Jingli Ren, Yury Stepanyants
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.
Topics & Concepts
Korteweg–de Vries equationPhysicsMathematical physicsMathematical analysisClassical mechanicsMathematicsNonlinear systemQuantum mechanicsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Mathematical Physics Problems