One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada–Kotera equation

• Published in: Nonlinear dynamics Vol. 96; no. 2; pp. 1491 - 1496
• Main Author: Osman, M. S.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.04.2019; Springer Nature B.V
• Subjects: Amplitudes; Automotive Engineering; Classical Mechanics; Coefficients; Control; Dynamical Systems; Engineering; Inelastic collisions; Mathematics; Mechanical Engineering; Original Paper; Partial differential equations; Shallow water; Solitary waves; Vibration; Waveguides; Generalized unified method; Fifth-order variable-coefficient Sawada–Kotera equation; 35G99; 33F10; Inelastic collision; Solitons; 35Q51

The main concern of the present article is to study the fifth-order variable-coefficient Sawada–Kotera (VcSK) equation which describes the motion of long waves in shallow water under the gravity. A single- and double-soliton rational solutions for this model are formally retrieved through the genera...