2012•Communications in Theoretical PhysicsRequires access

Localized Spatial Soliton Excitations in (2 + 1)-Dimensional Nonlinear Schrödinger Equation with Variable Nonlinearity and an External Potential

Wei‐Ping Zhong, Milivoj R. Belić, Tingwen Huang

Abstract

We report on the localized spatial soliton excitations in the multidimensional nonlinear Schrödinger equation with radially variable nonlinearity coefficient and an external potential. By using Hirota's binary differential operators, we determine a variety of external potentials and nonlinearity coefficients that can support nonlinear localized solutions of different but desired forms. For some specific external potentials and nonlinearity coefficients, we discuss features of the corresponding (2+1)-dimensional multisolitonic solutions, including ring solitons, lump solitons, and soliton clusters.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Nonlinear system, Soliton, Physics, Nonlinear Schrödinger equation, One-dimensional space, Variable (mathematics), Binary number, Variable coefficient