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

2013/05/17 by Anjan Kundu, Kundu, Anjan, Abhik Mukherjee +1 · 1 citation
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Fractional Differential Equations Solutions #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1305.4023

openalex publication_date 2013/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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• Traveling wave solutions for the generalized (2+1)-dimensional Kundu-Mukherjee-Naskar equation

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