Symmetric and non-symmetric waves in the osmosis \(K(2, 2)\) equation

DOI10.1016/j.camwa.2010.01.044zbMath1193.35202OpenAlexW2019163735MaRDI QIDQ988241

Xinghua Fan, Jiuli Yin, Lixin Tian

Publication date: 26 August 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.01.044

zbMATH Keywords

osmosis

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Solutions to PDEs in closed form (35C05)

Related Items (2)

Special exact soliton solutions for the \(K(2, 2)\) equation with non-zero constant pedestal ⋮ Dynamical behavior of loop solutions for the \(K(2, 2)\) equation

Cites Work

• Unnamed Item
• The bifurcation and peakon for \(K(2, 2)\) equation with osmosis dispersion
• Soliton solution of the osmosis \(K(2,2)\) equation
• 1-soliton solution of the \(K(m,n)\) equation with generalized evolution
• Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation
• Peaked wave solutions of Camassa-Holm equation
• Peakons of the Camassa-Holm equation
• Cusped solitons of the Camassa-Holm equation. I: Cuspon solitary wave and antipeakon limit
• Explicit solutions of the Camassa-Holm equation
• Traveling wave solutions of the Camassa-Holm equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• An integrable shallow water equation with peaked solitons
• Compactons: Solitons with finite wavelength

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