EXISTENCE AND ASYMPTOTIC BEHAVIOR OF TRAVELING WAVE SOLUTION FOR KORTEWEG-DE VRIES-BURGERS EQUATION WITH DISTRIBUTED DELAY
DOI10.11948/2156-907X.20180017zbMath1458.35380OpenAlexW2947414287MaRDI QIDQ5859391
Lixin Tian, Jiangbo Zhou, Jingdong Wei
Publication date: 16 April 2021
Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11948/2156-907x.20180017
asymptotic behaviorgeometric singular perturbation theorytraveling wave solutiondelayed Korteweg-de Vries-Burgers equation
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations for ordinary differential equations (34E15) Traveling wave solutions (35C07)
Cites Work
- A geometric construction of traveling waves in a generalized nonlinear dispersive-dissipative equation
- Constructing of new exact solutions to the GKdV-mKdV equation with any-order nonlinear terms by \((\frac{G'}{G})\)-expansion method
- Slow-fast Bogdanov-Takens bifurcations
- Canard cycles for predator-prey systems with Holling types of functional response
- Modified nonlinearly dispersive \(mK(m,n,k)\) equations: I. New compacton solutions and solitary pattern solutions
- Modified nonlinearly dispersive \(mK(m,n,k)\) equations: II. Jacobi elliptic function solutions
- Singular perturbation methods for slow-fast dynamics
- Persistence of wavefronts in delayed nonlocal reaction-diffusion equations
- Existence, uniqueness and asymptotic behavior of traveling wave fronts for a vector disease model
- Persistence of travelling fronts of KdV-Burgers-Kuramoto equation
- Solitary wave solutions for a generalized KdV-mKdV equation with variable coefficients
- Nonexistence of prolongation structure for the Korteweg-de Vries-Burgers equation.
- Geometric singular perturbation theory for ordinary differential equations
- Introduction to functional differential equations
- Travelling wave solutions to a perturbed Korteweg-de Vries equation
- Travelling fronts in the diffusive Nicholson's blowflies equation with distributed delays
- Travelling fronts for the KPP equation with spatio-temporal delay
- Existence, uniqueness and asymptotic behavior of traveling wave fronts for a generalized Fisher equation with nonlocal delay
- Theory and applications of partial functional differential equations
- Geometric singular perturbation theory for stochastic differential equations.
- Traveling waves for a dissipative modified KdV equation
- Geometric singular perturbation theory in biological practice
- Existence and asymptotic behavior of traveling wave fronts for a food-limited population model with spatio-temporal delay
- The Korteweg-de Vries-Kawahara equation in a bounded domain and some numerical results
- A sub-ODE method for finding exact solutions of a generalized KdV-mKdV equation with high-order nonlinear terms
- Solitary waves of the generalized KdV equation with distributed delays
- Normally elliptic singular perturbations and persistence of homoclinic orbits
- Bistable wavefronts in a diffusive and competitive Lotka-Volterra type system with nonlocal delays
- Hilbert's 16th problem for classical Liénard equations of even degree
- Compactification and desingularization of spaces of polynomial Liénard equations
- Travelling fronts in a food-limited population model with time delay
- A Modern Introduction to the Mathematical Theory of Water Waves
- Convergence and Travelling Fronts in Functional Differential Equations with Nonlocal Terms: A Competition Model
- The first-integral method to study the Burgers–Korteweg–de Vries equation
- Stability of steady states and existence of travelling waves in a vector-disease model
- Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations
- Multiple canard cycles in generalized Liénard equations
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