Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Existence and multiplicity of solutions for a coupled generalized Camassa-Holm system
View through CrossRef
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.
.
Related Results
Construction of new solutions to the fully nonlinear generalized Camassa-Holm equations by an indirect F function method
Construction of new solutions to the fully nonlinear generalized Camassa-Holm equations by an indirect F function method
An indirect F function method is introduced to solve the generalized Camassa-Holm equation with fully nonlinear dispersion and fully nonlinear convection C(l,n,p). Taking advantage...
Algorithmizing the Multiplicity Schwartz-Zippel Lemma
Algorithmizing the Multiplicity Schwartz-Zippel Lemma
The multiplicity Schwartz-Zippel lemma asserts that over a field, a low-degree polynomial cannot vanish with high multiplicity very often on a sufficiently large product set. Since...
Two kinds of generalized gradient representations for generalized Birkhoff system
Two kinds of generalized gradient representations for generalized Birkhoff system
Brikhoff system is a kind of basic dynamical system. The theory and method of Brikhoff system dynamics have been applied to the hadron physics, quantum physics, relativity and rota...
Novel/Old Generalized Multiplicative Zagreb Indices of Some Special Graphs
Novel/Old Generalized Multiplicative Zagreb Indices of Some Special Graphs
Topological descriptor is a fixed real number directly attached with the molecular graph to predict the physical and chemical properties of the chemical compound. Gutman and Trinaj...
Novel soliton dynamics via (G′∕G)-expansion neural networks approach in the modified Camassa–Holm and Kuramoto–Sivashinsky models
Novel soliton dynamics via (G′∕G)-expansion neural networks approach in the modified Camassa–Holm and Kuramoto–Sivashinsky models
This study investigates exact solitary wave solutions of the modified Camassa–Holm (mCH) and modified Kuramoto–Sivashinsky (mKS) equations, which are fundamental in fluid dynamics,...
Research on acoustic control of coupled vibration system of transducers using acoustic surface and topological defect structures
Research on acoustic control of coupled vibration system of transducers using acoustic surface and topological defect structures
<sec>How to regulate the sound waves in the coupled vibration system of complex power ultrasonic transducers and design high-performance transducer systems has always been an...
Multiplicity dependence of σψ(2S)/σJ/ψ in pp collisions at $$ \sqrt{s} $$ = 13 TeV
Multiplicity dependence of σψ(2S)/σJ/ψ in pp collisions at $$ \sqrt{s} $$ = 13 TeV
A
bstract
The ratio of production cross-sections of
ψ
(2
...
Long time asymptotics of the Camassa–Holm equation on the half-line
Long time asymptotics of the Camassa–Holm equation on the half-line
We study the long-time behavior of solutions of the initial-boundary value (IBV) problem for the Camassa–Holm (CH) equation
...