George Chavchanidze
Abstract
Abstract. In the present paper the non-Noether symmetries of the Toda model, nonlinear Schödinger equation and Korteweg-de Vries equations (KdV and mKdV) are discussed. It appears that these symmetries yield the complete sets of conservation laws in involution and lead to the bi-Hamiltonian realizations of the above mentioned models.
OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Abstract. In the present paper the non-Noether symmetries of the Toda model, nonlinear Schödinger equation and Korteweg-de Vries equations (KdV and mKdV) are discussed. It appears that these symmetries yield the complete sets of conservation laws in involution and lead to the bi-Hamiltonian realizations of the above mentioned models.
Key concepts: Noether's theorem, Integrable system, Korteweg–de Vries equation, Homogeneous space, Mathematical physics, Conservation law, Hamiltonian (control theory), Mathematics