On a generalization of a coupled integrable dispersionless system

Abstract

In this paper, we are concerned with a generalization of a coupled integrable dispersionless system, which plays a crucial role in nonlinear problems. We show with the appropriate transformations that the solutions can be expressed in terms of those of the sine-Gordon and sinh-Gordon equations involving an arbitrary function. The exact solutions are investigated.

Keywords

• Integrable dispersionless system
• Sine-Gordon equation
• Sinh-Gordon equation
• Coupled Konno–Oono system