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Integrable 1+1 dimensional hierarchies arising from reduction of a non-isospectral problem in 2+1 dimensions

Published:2013-11 Issue: Volume:224 Page:311-324
ISSN:0096-3003
Container-title:Applied Mathematics and Computation
language:en
Short-container-title:Applied Mathematics and Computation

Author:

Estévez P.G.,Lejarreta J.D.,Sardón C.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference32 articles.

1. Solitons, Non-Linear Evolution Equations and Inverse Scattering;Ablowitz,1991

2. Similarity Methods for Differential Equations;Bluman,1974

3. Breaking solitons in 2+1-dimensional integrable equations

4. 1 + 1 spectral problems arising from the Manakov–Santini system

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1. Spectral problem for the complex mKdV equation: singular manifold method and Lie symmetries;Open Communications in Nonlinear Mathematical Physics;2024-02-15

2. Spectral Parameter as a Group Parameter;Symmetry;2022-12-06

3. Classical Lie symmetries and reductions for a generalized NLS equation in 2+1 dimensions;Journal of Nonlinear Mathematical Physics;2021

4. Group interpretation of the spectral parameter. The case of isothermic surfaces;Journal of Geometry and Physics;2017-03

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