Explicit quasi-periodic wave solutions and asymptotic analysis to the supersymmetric Ito's equation

التفاصيل البيبلوغرافية
العنوان: Explicit quasi-periodic wave solutions and asymptotic analysis to the supersymmetric Ito's equation
المؤلفون: Fan, Engui, Hon, Y. C.
سنة النشر: 2010
المجموعة: Nonlinear Sciences
مصطلحات موضوعية: Nonlinear Sciences - Exactly Solvable and Integrable Systems
الوصف: Based on a Riemann theta function and the super-Hirota bilinear form, we propose a key formula for explicitly constructing quasi-periodic wave solutions of the supersymmetric Ito's equation in superspace $\mathbb{C}_{\Lambda}^{2,1}$. Once a nonlinear equation is written in bilinear forms, then the quasi-periodic wave solutions can be directly obtained from our formula. The relations between the periodic wave solutions and the well-known soliton solutions are rigorously established. It is shown that the quasi-periodic wave solutions tends to the soliton solutions under small amplitude limits.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1001.1492
رقم الأكسشن: edsarx.1001.1492
قاعدة البيانات: arXiv