𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Solitary and self-similar solutions of two-component system of nonlinear Schrödinger equations

✍ Scribed by Tai-Chia Lin; Juncheng Wei


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
354 KB
Volume
220
Category
Article
ISSN
0167-2789

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


New Self-Similar Solutions of the Nonlin
✍ Chris J Budd; Shaohua Chen; Robert D Russell 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 303 KB

We study the blow-up self-similar solutions of the radially symmetric nonlinear Schrödinger equation (NLS) given by iu t + u rr + d -1 r u r + u|u| 2 , with dimension d > 2. These solutions become infinite in a finite time T . By a series of careful numerical computations, partly supported by analyt

Chirped and chirp-free self-similar cnoi
✍ Chaoqing Dai; Yueyue Wang; Caijie Yan 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 848 KB

By means of the similarity transformation connecting with the solvable stationary cubic-quintic nonlinear Schrödinger equation (CQNLSE), we construct explicit chirped and chirp-free self-similar cnoidal wave and solitary wave solutions of the generalized CQNLSE with spatially inhomogeneous group vel

New integrable systems of derivative non
✍ Takayuki Tsuchida; Miki Wadati 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 88 KB

The Lax pair for a derivative nonlinear Schrodinger equation proposed by Chen-Lee-Liu is generalized into matrix form. This gives new types of integrable coupled derivative nonlinear Schrodinger equations. By virtue of a gauge ẗransformation, a new multi-component extension of a derivative nonlinea