Double Periodic Wave Solutions of the (2 + 1)‎-Dimensional Sawada-Kotera Equation

Abstract EN

Based on a general Riemann theta function and Hirota’s bilinear forms, we devise a straightforward way to explicitly construct double periodic wave solution of ( 2 + 1 ) -dimensional nonlinear partial differential equation.

The resulting theory is applied to the ( 2 + 1 ) -dimensional Sawada-Kotera equation, thereby yielding its double periodic wave solutions.

The relations between the periodic wave solutions and soliton solutions are rigorously established by a limiting procedure.