Research Article
Year 2025,
Volume: 46 Issue: 3, 583 - 589, 30.09.2025
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.
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There are 6 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Ordinary Differential Equations, Difference Equations and Dynamical Systems, Partial Differential Equations |
| Journal Section | Natural Sciences |
| Authors | |
| Publication Date | September 30, 2025 |
| Submission Date | July 3, 2025 |
| Acceptance Date | September 3, 2025 |
| Published in Issue | Year 2025 Volume: 46 Issue: 3 |
