Modular and Landen transformation between two kinds of separable solutions of Sine Gordon equation in N=2
Nan-Hong Kuo, C.D. Hu
TL;DR
This paper explores two types of separable N=2 solutions to the Sine Gordon equation and reveals their connection through Landen transformation, enhancing understanding of solution structures.
Contribution
It introduces a novel link between two classes of N=2 solutions of the Sine Gordon equation via Landen transformation.
Findings
Identified two distinct N=2 separable solutions.
Established a Landen transformation relating these solutions.
Provides new insights into the symmetry and solution structure of the Sine Gordon equation.
Abstract
In this article, we study on the separable N=2 solutions of Sine Gordon equation. From the original symmetry,we get two kinds of N=2 separable solutions. we find these two kinds are related to Landen transformation
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Nonlinear Photonic Systems