Cnoidal wave trains and solitary waves in a dissipation-modified Korteweg-de Vries equation

DOI10.1007/BF00994649zbMath0840.35093OpenAlexW4245791558MaRDI QIDQ1896412

A. E. Rednikov, Manuel G. Velarde, V. N. Kurdyumov, Alexander A. Nepomnyashchy, Yuri S. Ryazantsev

Publication date: 10 June 1996

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00994649

zbMATH Keywords

solitary wavescnoidal wavesstationary wavesdissipation-modified KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25)

Related Items

An intermediate wavelength, weakly nonlinear theory for the evolution of capillary gravity waves ⋮ Dissipative solitons ⋮ Stability of periodic waves governed by the modified Kawahara equation ⋮ Solutions of an extended KdV equation describing single stationary waves with strong or weak downstream decay in turbulent open‐channel flow ⋮ Numerical study of formation of solitary strain waves in a nonlinear elastic layered composite material ⋮ Solitons in Viscous Flows ⋮ Near-critical turbulent open-channel flows over bumps and ramps ⋮ Effect of anisotropy on morphological instability in the freezing of a hypercooled melt ⋮ SOLITON-LIKE WAVES ON DISSIPATIVE TODA LATTICES ⋮ Near-critical turbulent free-surface flow over a wavy bottom

Cites Work

• Unnamed Item
• Dissipative Korteweg–de Vries description of Marangoni–Bénard oscillatory convection
• INELASTIC INTERACTION OF BOUSSINESQ SOLITONS
• SOLITARY WAVES, SOLITON BOUND STATES AND CHAOS IN A DISSIPATIVE KORTEWEG-DE VRIES EQUATION
• A three-dimensional description of solitary waves and their interaction in Marangoni–Bénard layers