DISPERSIVE RAREFACTION WAVE WITH A LARGE INITIAL GRADIENT
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Publication:5125182
DOI10.15826/umj.2017.1.002zbMath1448.35442OpenAlexW2735859970MaRDI QIDQ5125182
Publication date: 5 October 2020
Published in: Ural mathematical journal (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/umj30
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20) Numerical quadrature and cubature formulas (65D32)
Cites Work
- Unnamed Item
- Rarefaction waves of the Korteweg-de Vries equation via nonlinear steepest descent
- Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent
- The Cauchy problem for a quasilinear parabolic equation with two small parameters
- Solutions of the Korteweg-de Vries equation with steplike initial data
- Quasi-classical approach to the inverse scattering problem for the KdV equation, and solution of the Whitham modulation equations
- Direct dynamical energy cascade in the modified KdV equation
- On the Cauchy problem for the Korteweg-de Vries equation with steplike finite-gap initial data. II: Perturbations with finite moments
- Asymptotics of the Gurevich-Pitaevskii universal special solution of the Korteweg-de Vries equation as \(|x|\to\infty\)
- Renormalization in the Cauchy problem for the Korteweg-de Vries equation
- Temporal asymptotics for soliton equations in problems with step initial conditions
- On a reflection coefficient for the Schrödinger operator with a smooth potential
- Cauchy problem for a quasilinear parabolic equation with a large initial gradient and low viscosity
- Solutions of the korteweg–devries equation with steplike initial profile
- The large-time development of the solution to an initial-value problem for the Korteweg–de Vries equation: I. Initial data has a discontinuous expansive step
- On the Cauchy problem for the Korteweg–de Vries equation with steplike finite-gap initial data: I. Schwartz-type perturbations
- THE KORTEWEG-DE VRIES EQUATION IN CLASSES OF INCREASING FUNCTIONS WITH PRESCRIBED ASYMPTOTICS AS $ \vert x\vert\to\infty$
- Long Time Asymptotics of the Korteweg-de Vries Equation
- ASYMPTOTICS OF THE SOLUTION OF THE CAUCHY PROBLEM FOR THE KORTEWEG-de VRIES EQUATION WITH INITIAL DATA OF STEP TYPE
- Modelling compression waves with a large initial gradient in the Korteweg - de Vries hydrodynamics
- Riemann–Hilbert problem to the modified Korteveg–de Vries equation: Long-time dynamics of the steplike initial data
- The renormalization-group method in problems of mechanics
- Asymptotic behavior in the trailing edge domain of the solution of the KdV equation with an initial condition of the ``threshold type
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