Rogue wave solutions to the generalized nonlinear Schrdinger equation with variable coefficients. Academic Article

abstract

• A similarity transformation is utilized to reduce the generalized nonlinear Schrdinger (NLS) equation with variable coefficients to the standard NLS equation with constant coefficients, whose rogue wave solutions are then transformed back into the solutions of the original equation. In this way, Ma breathers, the first- and second-order rogue wave solutions of the generalized equation, are constructed. Properties of a few specific solutions and controllability of their characteristics are discussed. The results obtained may raise the possibility of performing relevant experiments and achieving potential applications.

authors

• Belic, Milivoj
• Huang, Tingwen

published proceedings

• Phys Rev E Stat Nonlin Soft Matter Phys

author list (cited authors)

• Zhong, W., Beli, M. R., & Huang, T.

citation count

• 59

complete list of authors

• Zhong, Wei-Ping||Belić, Milivoj R||Huang, Tingwen

publication date

• June 2013

publisher

• American Physical Society (APS)  Publisher

published in

• Physical Review E: Statistical, Nonlinear, and Soft Matter Physics  Journal

keywords

• 0102 Applied Mathematics

PubMed Central ID

• 23848816

Digital Object Identifier (DOI)

• 10.1103/PhysRevE.87.065201

start page

• 065201

volume

• 87

issue

• 6