Ramanujan's identities, minimal surfaces and solitons

TL;DR

This paper explores the connections between Ramanujan's identities, minimal surfaces, and solitons by deriving new non-trivial mathematical identities using classical and modern representations.

Contribution

It introduces novel identities linking Ramanujan's formulas with minimal surfaces and Born-Infeld solitons through advanced mathematical representations.

Findings

Derived new identities connecting Ramanujan's identities with minimal surfaces.

Extended the Weierstrass-Enneper representation to soliton solutions.

Established mathematical links between classical identities and modern geometric structures.

Abstract

Using Ramanujan's identities and the Weierstrass-Enneper representation of minimal surfaces and the analogue for Born-Infeld solitons, we derive further non-trivial identities.