Periodic wave solutions of nonlinear equations by Hirota's bilinear method

Abstract

In this paper, we use Hirota's bilinear method to directly construct periodic wave solutions of nonlinear equations. The asymptotic property of periodic wave solutions are analyzed. It is shown that well-known soliton solutions can be reduced from the periodic wave solutions.

31pages,40figures

Cited by in corpus (3)

• A Riemann theta function formula with its application to double periodic wave solutions of nonlinear equations
• Bilinear approach to the quasi-periodic wave solutions of supersymmetric equations in superspace
• Explicit quasi-periodic wave solutions and asymptotic analysis to the supersymmetric Ito's equation