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Modulational stability of wave trains in the Camassa-Holm equation

Journal of Differential Equations
In this paper, we study the nonlinear wave modulation of arbitrary amplitude periodic traveling wave solutions of the Camassa-Holm (CH) equation. Slow modulations of wave trains is often described through Whitham's theory of modulations, which at leading
Mathew A. Johnson, Jeffrey Oregero
semanticscholar   +1 more source

ON SOLVABILITY OF CAUCHY PROBLEM FOR ONE SINGULAR N-TH ORDER FUNCTIONAL-DIFFERENTIAL EQUATION

Functional Differential Equations
Solvability conditions​ for n-th order quasilinear functional differential equation with singular at t=0 coefficient and linear deviation of argument at left-hand side and non-linear right-hand side with deviation of argument were obtained.
I. Plaksina
semanticscholar   +1 more source

Mittag-leffler-type function of arbitrary order and their application in the fractional kinetic equation

Partial Differential Equations and Applications, 2023
Mushtaque Ahmed Pathan, M. Bin-Saad
semanticscholar   +1 more source

Numerical study of integer-order hyperbolic telegraph model arising in physical and related sciences

The European Physical Journal Plus, 2020
I. Ahmad   +4 more
semanticscholar   +1 more source

Stability and Freezing of Nonlinear Waves in First Order Hyperbolic PDEs

Journal of Dynamics and Differential Equations, 2012
J. Rottmann-Matthes
semanticscholar   +2 more sources

MODEL PROBLEM IN A STRIP FOR THE HYPERBOLIC DIFFERENTIAL-DIFFERENCE EQUATION

Дифференциальные уравнения / Differential Equations
The paper investigates the question of the existence of a classical solution to the initial value problem with incomplete initial data on the boundary of the strip for a hyperbolic differential-difference equation.
N. Zaitseva
semanticscholar   +1 more source

Spatial behaviour of solutions of the three-phase-lag heat equation

Applied Mathematics and Computation, 2009
R. Quintanilla
semanticscholar   +1 more source

Solutions of fractional order pseudo-hyperbolic telegraph partial differential equations using finite difference method

AEJ - Alexandria Engineering Journal, 2022
Sadiq Taha Abdulazeez, Mahmut Modanlİ
exaly  

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