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Existence and multiplicity of solutions for a coupled generalized Camassa-Holm system
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In this paper, we investigate the existence and multiplicity of solutions for a coupled system of generalized Camassa--Holm equations, which arise in the modeling of nonlinear wave propagation in dispersive media. By developing a new integral formulation of the problem and applying fixed-point techniques adapted to the coupled structure, we establish the existence of multiple physically relevant nonnegative classical solutions. In particular, we prove the existence of at least one, two, and three nonnegative solutions under suitable assumptions on the system parameters and initial data.
Vertex Academic Press
Title: Existence and multiplicity of solutions for a coupled generalized Camassa-Holm system
Description:
In this paper, we investigate the existence and multiplicity of solutions for a coupled system of generalized Camassa--Holm equations, which arise in the modeling of nonlinear wave propagation in dispersive media.
By developing a new integral formulation of the problem and applying fixed-point techniques adapted to the coupled structure, we establish the existence of multiple physically relevant nonnegative classical solutions.
In particular, we prove the existence of at least one, two, and three nonnegative solutions under suitable assumptions on the system parameters and initial data.
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