Odd-order quasilinear evolution equations with general nonlinearity on bounded intervals
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Publication:2032365
DOI10.1134/S1995080221050048zbMath1465.35120OpenAlexW3166035486MaRDI QIDQ2032365
Publication date: 11 June 2021
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1995080221050048
Asymptotic behavior of solutions to PDEs (35B40) Weak solutions to PDEs (35D30) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)
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Cites Work
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- Decay properties for solutions of fifth order nonlinear dispersive equations
- The Kawahara equation on bounded intervals and on a half-line
- Global well-posedness and asymptotic behavior of a class of initial-boundary-value problem of the Korteweg-de Vries equation on a finite domain
- Nonhomogeneous boundary value problems for the Korteweg-de Vries equation on a bounded domain
- Energy decay for the modified Kawahara equation posed in a bounded domain
- Lax pairs and higher order models for water waves
- Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
- Existence of perturbed solitary wave solutions to a model equation for water waves
- Well-posedness for the fifth-order shallow water equations
- A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II.
- On the controllability of the fifth-order Korteweg-de Vries equation
- Quelques généralisations de l'équation de Korteweg-de Vries. II
- Local well-posedness for the KdV hierarchy at high regularity
- General boundary value problems of the Korteweg-de Vries equation on a bounded domain
- Initial-boundary value problems for generalized dispersive equations of higher orders posed on bounded intervals
- On the generalized Apostol-type Frobenius-Euler polynomials
- The Korteweg-de Vries-Kawahara equation in a bounded domain and some numerical results
- Local and global existence of solutions of initial value problems of nonlinear Kaup-Kupershmidt equations
- Approximate Equations for Long Nonlinear Waves on a Viscous Fluid
- Odd-order quasilinear evolution equations posed on a bounded interval
- THE CAUCHY PROBLEM FOR ODD-ORDER QUASILINEAR EQUATIONS
- The Kawahara equation in weighted Sobolev spaces
- On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ
- Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
- A General Theory for Interactions Between Short and Long Waves
- Higher-Order Nonlinear Dispersive Equations
- Solitary and Periodic Solutions of Nonlinear Nonintegrable Equations
- Neumann Boundary Controllability of the Korteweg--de Vries Equation on a Bounded Domain
- Finite amplitude side-band stability of a viscous film
- Linear Instability of Solitary Wave Solutions of the Kawahara Equation and Its Generalizations
- Well-posedness of a class of non-homogeneous boundary value problems of the Korteweg-de Vries equation on a finite domain
- Well-posedness and ill-posedness of the fifth order modifed KdV equation
- The Initial-Boundary Value Problem for the Korteweg–de Vries Equation
- Long Waves on Liquid Films
- Integrals of nonlinear equations of evolution and solitary waves
- A non-linear equation incorporating damping and dispersion
