Search Results - subject:"Darboux transformation"

An improved method for Darboux transformation for the coupled inhomogeneous nonlinear Schrödinger system from plasma physics and nonlinear optics

Liu, Yu-Ping; Gao, Yi-Tian; Wei, Guang-Mei - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 4, pp. 656-665

interaction in certain plasmas and optical fibers is investigated. An improved method for Darboux transformation (DT) is presented …

Persistent link: https://www.econbiz.de/10011058123

An improved Γ-Riccati Bäcklund transformation and its applications for the inhomogeneous nonlinear Schrödinger model from plasma physics and nonlinear optics

Liu, Yu-Ping; Gao, Yi-Tian; Wei, Guang-Mei - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 3, pp. 535-543

hierarchy of solutions through algebraic manipulations. Based on the improved Γ-R BT, the Darboux transformation is obtained …

Persistent link: https://www.econbiz.de/10011062791

Soliton dynamics and elastic collisions in a spin chain with an external time-dependent magnetic field

Zhang, Hai-Qiang; Tian, Bo; Lü, Xing; Meng, Xiang-Hua - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 3, pp. 367-374

-oscillating magnetic field. Such dynamics can be described by a Landau–Lifshitz-type equation. We apply the Darboux transformation method …

Persistent link: https://www.econbiz.de/10011057776

Darboux transformation and soliton solutions for the (2+1)-dimensional nonlinear Schrödinger hierarchy with symbolic computation

Zhang, Hai-Qiang; Tian, Bo; Li, Li-Li; Xue, Yu-Shan - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 1, pp. 9-20

In this paper, the N-fold Darboux transformation is applied to the Lax pair associated with the (2+1)-dimensional …-parabola soliton solutions) are constructed by applying the Darboux transformation successively. Based on the figures for several …

Persistent link: https://www.econbiz.de/10011058510

Darboux transformations for the isospectral and nonisospectral mKP equation

Deng, Shu-fang - In: Physica A: Statistical Mechanics and its Applications 382 (2007) 2, pp. 487-493

investigated. In the isospectral case it is an auto-Darboux transformation; however, in the nonisospectral case it is not auto …

Persistent link: https://www.econbiz.de/10010589091

Negaton and complexiton solutions of sine-Gordon equation

Wu, Hongxia; Fan, Tianyou - In: Physica A: Statistical Mechanics and its Applications 379 (2007) 2, pp. 471-482

The negaton and complexiton solutions are introduced for the sine-Gordon equation by means of the Darboux … transformation (DT). The mutual interactions of multinegaton and interactions of negaton–soliton and negaton–positon are discussed in …

Persistent link: https://www.econbiz.de/10010590744

A new constrained mKP hierarchy and the generalized Darboux transformation for the mKP equation with self-consistent sources

Xiao, Ting; Zeng, Yunbo - In: Physica A: Statistical Mechanics and its Applications 353 (2005) C, pp. 38-60

Lax pairs, we construct the generalized Darboux transformation with arbitrary functions in time t for the mKPESCS which …, in contrast with the Darboux transformation for the mKP equation, provides a nonauto-Bäcklund transformation between two … mKPESCSs with different degrees. The formula for n-times repeated generalized Darboux transformation is proposed and enables us …

Persistent link: https://www.econbiz.de/10011060600