PreprintCC BY 4.0arXiv
Hyperbolic, Trigonometric and Periodic Solutions of Local and Nonlocal Fokas-Lennels Equations
Abstract
We obtain a large number of exact hyperbolic, trigonometric, and periodic solutions in terms of Jacobi elliptic functions as well as algebraic solutions with a power law tail of the integrable local Fokas-Lennels equation and integrable nonlocal Fokas-Lennels equation. Further, we consider a one-parameter family of generalized Fokas-Lenells equations and obtain a few of their exact solutions.
Related
- Quantitative periodic homogenization and uniform regularity for nonlocal equations
- The principal eigenvalue problem for time-periodic nonlocal equations with drift
- Large number of hyperbolic and periodic solutions of sine-Gordon equation with nontrivial time dependence
- Periodic KPP equations in hyperbolic space
- Higher Regularity of Time-Periodic Solutions to Nonautonomous Hyperbolic Problems: Away from Resonances
BibTeX
@misc{khare2026hyperbolic,
title = {{Hyperbolic, Trigonometric and Periodic Solutions of Local and Nonlocal Fokas-Lennels Equations}},
author = {Avinash Khare and Avadh Saxena},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.29019},
eprint = {2609.29019},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.29019},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Hyperbolic, Trigonometric and Periodic Solutions of Local and Nonlocal Fokas-Lennels Equations
AU - Avinash Khare
AU - Avadh Saxena
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.29019
UR - https://arxiv.org/abs/2609.29019
AB - We obtain a large number of exact hyperbolic, trigonometric, and periodic solutions in terms of Jacobi elliptic functions as well as algebraic solutions with a power law tail of the integrable local Fokas-Lennels equation and integrable nonlocal Fokas-Lennels equation. Further, we consider a one-parameter family of generalized Fokas-Lenells equations and obtain a few of their exact solutions.
ER -