From one to infinity: symmetries of integrable systems

Autor:	Lou, S. Y., Jia, M.
Rok vydání:	2023
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	Integrable systems constitute an essential part of modern physics. Traditionally, to approve a model is integrable one has to find its infinitely many symmetries or conserved quantities. In this letter, taking the well known Korteweg-de Vries and Boussinesq equations as examples, we show that it is enough to find only one nonlocal key-symmetry to guarantee the integrability. Starting from the nonlocal key-symmetry, recursion operator(s) and then infinitely many symmetries and Lax pairs can be successfully found. Comment: 6 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.06729 Zobrazit plný text záznamu View this record from Arxiv