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Added by Arxiv Bot | Added: 2026-03-02 18:02 | Views: 1 | Source: arXiv Dataset IDs (Model)

Lie point symmetries of integrable evolution equations and invariant solutions

Authors	A. K. Svinin
Categories	solv-int nlin.SI
ArXiv ID	solv-int/9909008
URL	https://arxiv.org/abs/solv-int/9909008

Abstract

An integrable hierarchies connected with linear stationary Schr\"odinger equation with energy dependent potentials (in general case) are considered. Galilei-like and scaling invariance transformations are constructed. A symmetry method is applied to construct invariant solutions.

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    "abstract": "An integrable hierarchies connected with linear stationary Schr\\\"odinger\nequation with energy dependent potentials (in general case) are considered.\nGalilei-like and scaling invariance transformations are constructed. A symmetry\nmethod is applied to construct invariant solutions.",
    "arxiv_id": "solv-int/9909008",
    "authors": [
      "A. K. Svinin"
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    "categories": [
      "solv-int",
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    "title": "Lie point symmetries of integrable evolution equations and invariant   solutions",
    "url": "https://arxiv.org/abs/solv-int/9909008"
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