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Lie point symmetries of integrable evolution equations and invariant solutions

A. K. Svinin
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Abstract

An integrable hierarchies connected with linear stationary Schrödinger 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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A. K. Svinin. 1999-09-14. Lie point symmetries of integrable evolution equations and invariant solutions. https://arxiv.org/abs/solv-int/9909008

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