Asymptotic periodic solution of the Cauchy problem for the Langmuir lattice

DOI10.1134/S0965542515120088zbMath1337.34017MaRDI QIDQ266096

M. G. Makhmudova, Agil K. Khanmamedov

Publication date: 13 April 2016

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemasymptotic periodic solutionLangmuir latticetheory of existence of solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Asymptotic properties of solutions to ordinary differential equations (34D05) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Ordinary lattice differential equations (34A33)

Related Items (3)

Volume independence for Yang–Mills fields on the twisted torus ⋮ Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions ⋮ Algorithm for solving the Cauchy problem for one infinite-dimensional system of nonlinear differential equations

Cites Work

• On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
• Asymptotic expansion of the solution to the Cauchy problem for the Volterra chain with a step-like initial condition
• Inverse scattering transform for the Toda hierarchy with quasi-periodic background
• The solution of Cauchy's problem for the Toda lattice with limit periodic initial data
• An algorithm for solving the Cauchy problem for a finite Langmuir lattice
• ON SOLUTION OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION WITH INITIAL DATA THE SUM OF A PERIODIC AND A RAPIDLY DECREASING FUNCTION
• Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies
• Direct and inverse scattering problems for the perturbed Hill difference equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotic periodic solution of the Cauchy problem for the Langmuir lattice