Solitonic structures in KdV-based higher-order systems.

DOI10.1016/S0165-2125(01)00069-5zbMath1074.35576OpenAlexW1981262048MaRDI QIDQ5960642

Gérard A. Maugin, Yu. K. Ehngel'brekht, Andrus Salupere

Publication date: 8 April 2002

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-2125(01)00069-5

zbMATH Keywords

Wave propagationKdV-type equationSolitonic structures

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (16)

Solitary wave interactions and reshaping in coupled systems ⋮ Special features of the nonlinear dynamics of quasiparticles in molecular structures with hydrogen bonds with allowance for the interaction of not only the nearest neighbors ⋮ Nonlinear concentration waves in an imperfect reacting diffusion system ⋮ ON THE FLUCTUATIONS OF WATER WAVES GOVERNED BY THE CAMASSA–HOLM AND KdV EQUATIONS IN (1+1)-DIMENSION ⋮ Solitons in elastic solids (1938--2010) ⋮ Exact solutions of the hierarchical Korteweg-de Vries equation of microstructured granular materials ⋮ Exact solutions for modified Korteweg-de Vries equation ⋮ Soliton ensembles and solitonic structures ⋮ Numerical study of formation of solitary strain waves in a nonlinear elastic layered composite material ⋮ On hidden solitons in KdV related systems ⋮ Propagation of \(sech^2\)-type solitary waves in higher-order KdV-type systems ⋮ Solitary wave solution of higher-order Korteweg-de Vries equation ⋮ On the propagation of solitary pulses in microstructured materials ⋮ On solitary waves in case of amplitude-dependent nonlinearity ⋮ On solitonic solutions for the hyperelastic rod equation ⋮ On solitons in microstructured solids and granular materials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of perturbed solitary wave solutions to a model equation for water waves
• Computational synergetics and mathematical innovation
• On the formulation of mechanical balance laws for structured continua
• Existence of solitary waves in martensitic alloys
• On the KdV soliton formation and discrete spectral analysis
• Solitary waves with damped oscillatory tails: An analysis of the fifth- order Korteweg-de Vries equation
• Continuum micromechanics
• Generalized plasticity and shape-memory alloys
• Solitary waves in micropolar elastic crystals
• Dynamics and wave propagation in dilatant granular materials
• Travelling solitary wave solutions to a seventh-order generalized KdV equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Weakly Nonlocal Solitary Waves in a Singularly Perturbed Korteweg–De Vries Equation
• Soliton interaction for the extended Korteweg-de Vries equation

This page was built for publication: Solitonic structures in KdV-based higher-order systems.