Existence of traveling waves in a delayed convecting shallow water fluid model
DOI10.3934/era.2023343OpenAlexW4387788311MaRDI QIDQ6193412
Publication date: 13 February 2024
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/era.2023343
traveling wavesFredholm theorygeometric singular perturbation theoryabelian integralshallow water fluid model
PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Fredholm integral equations (45B05) Traveling wave solutions (35C07) Soliton solutions (35C08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on time scales (35R07)
Cites Work
- Constructing of new exact solutions to the GKdV-mKdV equation with any-order nonlinear terms by \((\frac{G'}{G})\)-expansion method
- Solitary wave solutions and kink wave solutions for a generalized KdV-mKdV equation
- On the extended KdV equation with self-consistent sources
- Adiabatic parameter dynamics of perturbed solitary waves
- Solitary waves solutions of singularly perturbed higher-order KdV equation via geometric singular perturbation method
- Geometric singular perturbation theory for ordinary differential equations
- On the uniqueness of traveling waves in perturbed Korteweg-de Vries equations
- Travelling wave solutions to a perturbed Korteweg-de Vries equation
- Simple soliton solution method for the combined KdV and mKdV equation
- Travelling wavefronts in the diffusive single species model with Allee effect and distributed delay
- Analysis and simulation of periodic and solitary waves in nonlinear dispersive-dissipative solids
- Stability of solutions to the Riemann problem for a thin film model of a perfectly soluble anti-surfactant solution
- Solitary wave solutions of delayed coupled Higgs field equation
- The solitary wave solutions of the nonlinear perturbed shallow water wave model
- Traveling pulse solutions of a generalized Keller-Segel system with small cell diffusion via a geometric approach
- On the existence of solitary wave solutions for perturbed Degasperis-Procesi equation
- Coexistence of the solitary and periodic waves in convecting shallow water fluid
- Existence of solitary wave solutions for a nonlinear fifth-order KdV equation
- A sub-ODE method for finding exact solutions of a generalized KdV-mKdV equation with high-order nonlinear terms
- The monotonicity of the ratio of two Abelian integrals
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Solitary wave solutions for a generalized KdV–mKdV equation with distributed delays
- EXISTENCE OF TRAVELING WAVE FRONTS FOR A GENERALIZED KDV–MKDV EQUATION
- EXISTENCE OF SOLITARY WAVES AND PERIODIC WAVES TO A PERTURBED GENERALIZED KDV EQUATION
- Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
- On travelling wave solutions of the Burgers–Korteweg–de Vries equation
- BÄCKLUND TRANSFORMATION AND DIVERSE EXACT EXPLICIT SOLUTIONS OF THE FRACTAL COMBINED KdV–mKdV EQUATION
- A FRACTAL MODIFICATION OF THE UNSTEADY KORTEWEG–DE VRIES MODEL AND ITS GENERALIZED FRACTAL VARIATIONAL PRINCIPLE AND DIVERSE EXACT SOLUTIONS
- A NEW FRACTAL MODIFIED BENJAMIN–BONA–MAHONY EQUATION: ITS GENERALIZED VARIATIONAL PRINCIPLE AND ABUNDANT EXACT SOLUTIONS
