Year: 2025
Type: article
Abstract: We present the derivation of a fifth-order integrable nonlinear partial differential equation via the Lax method and the alternate Lax method in the continuous case. The Lax method uses a pair of differential operators, L and A, satisfying a compatibility condition. The pair (L,A) is known as the Lax pair. The alternate Lax method is a variation of the Lax method and use a consistency relation equivalent to the commutation of a certain derivative operator associated with the time evolution and the spacial evolution. In the paper we also show that the Lax method and the alternate Lax method are equivalent.
Source: Cumhuriyet Science Journal
DOI: 10.17776/csj.1733907
Author: Mehmet Ünlü
Institution: Recep Tayyip Erdoğan University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414622964