Novel integrable higher-dimensional nonlinear Schroedinger equation: properties, solutions, applications

Abstract

An integrable extension of the well known nonlinear Schroedinger (NLS) equation to a higher space-dimension, recently proposed by us, is investigated, exploring its various important aspects. Focusing on the idea of construction its connection with other known models like the Zakharov equation and the Strachan construction is shown. The underlying integrable structures like the Lax pair, the infinite conserved charges and the higher soliton solutions are presented in the explicit form. The related 2D rogue wave model and other applications are focused on.

14 pages, 4 figures, latex

References in corpus (1)

• Arbitrary bending of optical solitonic beam regulated by boundary excitations in a doped resonant medium

Cited by in corpus (4)

• Lagrangian and Hamiltonian structures in an integrable hierarchy and space-time duality
• A new (2+1) dimensional integrable evolution equation for an ion acoustic wave in a magnetized plasma
• Arbitrary bending of optical solitonic beam regulated by boundary excitations in a doped resonant medium
• Traveling wave solutions for the generalized (2+1)-dimensional Kundu-Mukherjee-Naskar equation