The symmetric (2+1)-dimensional Lotka-Volterra equation with self-consistent sources

TL;DR

This paper introduces a symmetric (2+1)-dimensional Lotka-Volterra equation with self-consistent sources, providing explicit solutions such as dromions, solitons, and breathers using pfaffian techniques.

Contribution

It constructs and solves a novel symmetric (2+1)-dimensional Lotka-Volterra equation with self-consistent sources employing pfaffian solutions.

Findings

Derived explicit solutions including dromions, solitons, and breathers

Used pfaffian techniques for solution expression

Expanded understanding of (2+1)-dimensional Lotka-Volterra systems

Abstract

The symmetric (2+1)-dimensional Lotka-Volterra equation with self-consistent sources is constructed and solved by employing the source generation procedure, whose solutions are expressed in terms of pfaffians. As special cases of the pfaffian solutions, different types of explicit solutions are obtained, including dromions, soliton solutions and breather solutions.