Exact solitary and periodic-wave solutions of the \(K(2,2)\) equation (defocusing branch)

DOI10.1016/j.amc.2009.06.054zbMath1202.35185OpenAlexW2163513648MaRDI QIDQ609304

Jinlong Cao, Xijun Deng, E. John Parkes

Publication date: 30 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://strathprints.strath.ac.uk/13737/

zbMATH Keywords

solitary wave solutions\(K(2, 2)\) equationauxiliary elliptic equation methoddefocusing branchperiodic-wave solutions

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items

Special exact soliton solutions for the \(K(2, 2)\) equation with non-zero constant pedestal ⋮ Exact traveling wave solutions of explicit type, implicit type, and parametric type for \(K(m, n)\) equation ⋮ Dynamical behavior of loop solutions for the \(K(2, 2)\) equation ⋮ Single peak solitary wave solutions for the osmosis \(K(2,2)\) equation under inhomogeneous boundary condition ⋮ Local fractional operator for analytical solutions of the \(K(2, 2)\)-focusing branch equations of time-fractional order ⋮ Nonuniform continuity of the osmosis \(K(2, 2)\) equation

Cites Work

• Unnamed Item
• Soliton solution of the osmosis \(K(2,2)\) equation
• 1-soliton solution of the \(K(m,n)\) equation with generalized evolution
• On stationary solutions of the reduced Ostrovsky equation: periodic waves, compactons and compound solitons
• Traveling wave solutions of the Degasperis-Procesi equation
• Periodic and solitary-wave solutions of the Degasperis-Procesi equation
• On nonanalytic solitary waves formed by a nonlinear dispersion.
• Dynamical understanding of loop soliton solution for several nonlinear wave equations
• Near-corner waves of the Camassa-Holm equation
• Cuspons and smooth solitons of the Degasperis-Procesi equation under inhomogeneous boundary condition
• Explicit solutions of the Camassa-Holm equation
• Traveling wave solutions of the Camassa-Holm equation
• The stability of solutions of Vakhnenko's equation
• Compactons: Solitons with finite wavelength
• Exact special solutions with solitary patterns for the nonlinear dispersive \(K(m,n)\) equations