Lie point symmetries of integrable evolution equations and invariant solutions

Details Lie point symmetries of integrable evolution equations and invariant solutions Lie point symmetries of integrable evolution equations and invariant solutions

1999-09-14

arxiv.org/abs/solv-int/9909008v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, 17 pages

Scientific paper

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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