Nonautonomous symmetries of the KdV equation and step-like solutions
From MaRDI portal
Publication:5113691
DOI10.1080/14029251.2020.1757236zbMath1436.35284arXiv1911.04770OpenAlexW3101885324MaRDI QIDQ5113691
Publication date: 16 June 2020
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.04770
KdV equations (Korteweg-de Vries equations) (35Q53) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Initial value problems for nonlinear higher-order PDEs (35G25) Topological dynamics of nonautonomous systems (37B55) Self-similar solutions to PDEs (35C06)
Related Items (4)
Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type ⋮ Non-autonomous reductions of the KdV equation and multi-component analogs of the Painlevé equations P34 and P3 ⋮ Negative flows for several integrable models ⋮ Integrable Abel equation and asymptotics of symmetry solutions of Korteweg-de Vries equation
Cites Work
- Unnamed Item
- Unnamed Item
- On the nonexistence of global solutions of the Cauchy problem for the Korteweg-de Vries equation
- Symmetry approach to the integrability problem
- Geometry of the string equations
- On Hamiltonian perturbations of hyperbolic systems of conservation laws. II: Universality of critical behaviour
- Additional symmetries of the nonlinear Schrödinger equation
- Solutions of the Korteweg-de Vries equation with steplike initial data
- Inverse scattering method with variable spectral parameter
- On a class of polynomials connected with the Korteweg-de Vries equation
- Turning points of linear systems and the double asymptotics of the Painlevé transcendents
- KdV equation beyond standard assumptions on initial data
- ``Quantizations of higher Hamiltonian analogues of the Painlevé I and Painlevé II equations with two degrees of freedom
- Phase shift in the Whitham zone for the Gurevich-Pitaevskii special solution of the Korteweg-de Vries equation
- Asymptotics of the Gurevich-Pitaevskii universal special solution of the Korteweg-de Vries equation as \(|x|\to\infty\)
- Temporal asymptotics for soliton equations in problems with step initial conditions
- Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
- Solutions of the korteweg–devries equation with steplike initial profile
- 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
- The existence of a real pole-free solution of the fourth order analogue of the Painlevé I equation
- Long-time asymptotics for the Korteweg–de Vries equation with step-like initial data
This page was built for publication: Nonautonomous symmetries of the KdV equation and step-like solutions
