Comparing symmetries and conservation laws of nonlinear telegraph equations

DOI10.1063/1.1915292zbMath1110.35045OpenAlexW2030377529MaRDI QIDQ3438538

Temuerchaolu, George W. Bluman

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1915292

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (14)

Loop soliton interaction in an integrable nonlinear telegraphy model: reciprocal and Bäcklund transformations ⋮ Framework for nonlocally related partial differential equation systems and nonlocal symmetries: Extension, simplification, and examples ⋮ A comparison of conservation law construction approaches for the two-dimensional incompressible Mooney-Rivlin hyperelasticity model ⋮ Symbolic Computation of Nonlocal Symmetries and Nonlocal Conservation Laws of Partial Differential Equations Using the GeM Package for Maple ⋮ On the structure of conservation laws of (3 + 1)-dimensional wave equation ⋮ Group analysis and exact solutions of a class of variable coefficient nonlinear telegraph equations ⋮ Subsymmetries and their properties ⋮ Conservation laws of \((3+\alpha)\)-dimensional time-fractional diffusion equation ⋮ Group-theoretical analysis of variable coefficient nonlinear telegraph equations ⋮ Lie symmetry and conservation laws for magneto-static magnetic shape memory alloys system ⋮ On the existence of conservation law multiplier for partial differential equations ⋮ Preliminary group classification for the nonlinear wave equation \(u_{tt}=f(x,u)u_{xx}+g(x,u)\) ⋮ SYMMETRY ANALYSIS OF TELEGRAPH EQUATION ⋮ Some approaches to the calculation of conservation laws for a telegraph system and their comparisons

Cites Work

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• Acceleration wave propagation in hyperelastic rods of variable cross- section
• Flexible multibody dynamics: Review of past and recent developments
• Symmetry and integration methods for differential equations
• The use of factors to discover potential systems or linearizations
• Local and nonlocal symmetries for nonlinear telegraph equation
• Direct Construction of Conservation Laws from Field Equations

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