Stability analysis of traveling wave solutions of a generalized Korteweg-de Vries-Burgers equation with variable dissipation parameter
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Publication:2033089
DOI10.1016/j.cam.2021.113654zbMath1466.35081OpenAlexW3165377857MaRDI QIDQ2033089
A. P. Chugainova, V. A. Shargatov
Publication date: 14 June 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2021.113654
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07)
Related Items (5)
Global stability of traveling wave solutions of generalized Korteveg-de Vries-Burgers equation with non-constant dissipation parameter ⋮ Structures of non-classical discontinuities in solutions of hyperbolic systems of equations ⋮ On the instability of monotone traveling-wave solutions for a generalized Korteweg-de Vries-Burgers equation ⋮ Structures of classical and special discontinuities for the generalized Korteweg-de Vries-Burgers equation in the case of a flux function with four inflection points ⋮ Dynamics of travelling waves to KdV-Burgers-Kuramoto equation with Marangoni effect perturbation
Cites Work
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- Time-invariant and time-varying discontinuity structures for models described by the generalized Korteweg-Burgers equation
- Stability of viscous weak detonation waves for Majda's model
- Spectral stability of special discontinuities
- Periodic boundary conditions for KdV-Burgers equation on an interval
- Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity
- Spectral stability theory of heteroclinic solutions to the Korteweg-de Vries-Burgers equation with an arbitrary potential
- Travelling wave solutions of the modified Korteweg-deVries-Burgers equation
- Jumps in models described by generalized Korteweg-de Vries equations
- Nonlinear waves in layered media: solutions of the KdV-Burgers equation
- Reflection and refraction of solitons by the KdV-Burgers equation in nonhomogeneous dissipative media
- Theory and classification of the reversible structures of discontinuities in hydrodynamic-type models
- Analytical description of the structure of special discontinuities described by a generalized KdV-Burgers equation
- Stability analysis of combustion waves for competitive exothermic reactions using Evans function
- Stability of nonstationary solutions of the generalized KdV-Burgers equation
- Nonstationary solutions of a generalized Korteweg-de Vries-Burgers equation
- An efficient shooting algorithm for Evans function calculations in large systems
- Stability of discontinuity structures described by a generalized KdV-Burgers equation
- Dispersive and Diffusive-Dispersive Shock Waves for Nonconvex Conservation Laws
- Hyperbolic systems of conservation laws II
- Classical and non-classical discontinuities in solutions of equations of non-linear elasticity theory
- Undercompressive shocks and Riemann problems for scalar conservation laws with non-convex fluxes
- A nonconvex scalar conservation law with trilinear flux
- Non-classical Riemann solvers with nucleation
- Eigenvalues, and instabilities of solitary waves
- Undercompressive shocks in thin film flows.
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