Quasi-periodic waves of the supersymmetric modified Korteweg–de Vries equation

✍ Scribed by Lin Luo; Engui Fan

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 340 KB
• Volume: 74
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2010.09.022

✦ Synopsis

Based on the Hirota bilinear method and the Riemann theta function, a straightforward way is shown to construct quasi-periodic wave solutions of supersymmetric equations. The resulting theory is applied to the supersymmetric modified Korteweg-de Vries equation. Further, we analyze the asymptotic properties of the solutions and give their asymptotic relations between the quasi-periodic wave solutions and the soliton solutions.