Work

One-parameter family of elliptic sine-Gordon equations

Year: 2026

Type: article

Abstract: We introduce a continuous one-parameter family of elliptic sine-Gordon equations characterized by the modulus parameter [Formula: see text] of Jacobi elliptic functions and analyze some of its properties as well as obtain its kink solutions for various values of the modulus parameter m. These elliptic sine-Gordon equations have the novel property that while in the limit [Formula: see text] they go over to the integrable sine-Gordon equation, in the [Formula: see text] limit they go over to the integrable sine hyperbolic-Gordon equation.

Source: International Journal of Modern Physics B

DOI: 10.1142/s0217979226502693

Authors: Avinash Khare, Avadh Saxena

Institutions: Savitribai Phule Pune University, Los Alamos National Laboratory

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, Indian National Science Academy, Savitribai Phule Pune University, Los Alamos National Laboratory

OpenAlex ID: W7148820479

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