Conservation laws for Camassa-Holm equation, Dullin-Gottwald-Holm equation and generalized Dullin-Gottwald-Holm equation

DOI10.1016/j.nonrwa.2008.09.028zbMath1179.35275OpenAlexW2038240216MaRDI QIDQ1036775

Shirley Abelman, Rehana Naz, Imran Naeem

Publication date: 13 November 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.09.028

zbMATH Keywords

multipliersCamassa-Holm equationDullin-Gottwald-Holm equationgeneralized Dullin-Gottwald-Holm equationvariational derivative approach

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05)

Related Items (9)

Numerical solution of fractional <scp>Dullin–Gottwald–Holm</scp> equation for solitary shallow water waves ⋮ Various Exact Soliton Solutions and Bifurcations of a Generalized Dullin–Gottwald–Holm Equation with a Power Law Nonlinearity ⋮ Maximum principle for optimal distributed control of the viscous dullin-gottwald-Holm equation ⋮ Global existence for the higher-order Camassa-Holm shallow water equation ⋮ EXACT TRAVELING WAVE SOLUTIONS AND BIFURCATIONS FOR THE DULLIN-GOTTWALD-HOLM EQUATION ⋮ Optimal distributed control of the Fornberg-Whitham equation ⋮ Traveling wave solutions of generalized Dullin-Gottwald-Holm equation with parabolic law nonlinearity ⋮ Blow-up phenomena and stability of solitary waves for a generalized Dullin-Gottwald-Holm equation ⋮ 1-soliton solution and conservation laws of the generalized Dullin-Gottwald-Holm equation

Cites Work

• Conservation laws and conserved quantities for laminar two-dimensional and radial jets
• Computer algebra algorithms and routines for the computation of conservation laws and fixing of gauge in differential expressions
• New peaked solitary wave solutions of the generalized Camassa-Holm equation
• Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics
• An integrable shallow water equation with peaked solitons
• A comparison of four approaches to the calculation of conservation laws
• Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
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