Infinite-dimensional symmetry for wave equation with additional condition
Irina Yehorchenko, Alla Vorobyova
TL;DR
This paper explores the symmetries of the wave equation with additional conditions, revealing infinite-dimensional symmetry algebras for certain nonlinear cases and constructing related solutions.
Contribution
It introduces new infinite-dimensional symmetry structures for wave equations with specific additional conditions and provides explicit solutions based on these symmetries.
Findings
Infinite-dimensional symmetry algebra identified for nonlinear wave equations.
Explicit ansatzes and solutions derived from the new symmetries.
Symmetries depend on the form of the additional conditions.
Abstract
Symmetries for wave equation with additional conditions are found. Some conditions yield infinite-dimensional symmetry algebra for the nonlinear equation. Ansatzes and solutions corresponding to the new symmetries were constructed.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Quantum Mechanics and Non-Hermitian Physics