Loop groups and discrete KdV equations
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Publication:4801889
DOI10.1088/0951-7715/16/1/316zbMath1019.37045arXivnlin/0209040OpenAlexW3105765914MaRDI QIDQ4801889
Publication date: 24 September 2003
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0209040
solitonKdV hierarchyBäcklund transformationdiscretized lattice equationsfull lattice KdVlattice KdV systemLoop group methods
KdV equations (Korteweg-de Vries equations) (35Q53) Loop groups and related constructions, group-theoretic treatment (22E67) Applications of Lie groups to the sciences; explicit representations (22E70) Lattice dynamics; integrable lattice equations (37K60)
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Discretizations of the generalized AKNS scheme ⋮ UMBRAL DEFORMATIONS ON DISCRETE SPACE–TIME ⋮ Integrable discretization of nonlinear Schrödinger equation and its application with Fourier pseudo-spectral method ⋮ A semi-discrete modified KdV equation ⋮ Discretization of nonlinear evolution equations over associative function algebras ⋮ Integrable discretization of soliton equations via bilinear method and Bäcklund transformation ⋮ Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV–sine-Gordon equation ⋮ Integrable discretizations for classical Boussinesq system ⋮ An algebraic approach to discrete time integrability
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