John Dawson

Professor

University of New Hampshire

United States

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John Dawson is a Professor at the University of New Hampshire in the United States. His research areas include the analysis of the Gross–Pitaevskii equation, nonlocal nonlinear self-interaction potentials, and stability of nonlinear Schrödinger equations. Recent publications focus on inverse problem methodologies and the behavior of solitary waves in various potential contexts. Professor Dawson's work contributes to advancing the understanding of complex wave solutions and their stability in quantum systems.

Articles (6)

Year:

2024

Year:

2023

Year:

2023

Year:

2022

Year:

2021

Year:

2020

Collaborators (1)

Efstathios Charalampidis

Assistant Professor

California Polytechnic State University, San Luis Obispo

UNITED STATES

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John Dawson

Research Interests

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Articles (6)

The application of the “inverse problem” method for constructing confining potentials that make N-soliton waveforms exact solutions in the Gross–Pitaevskii equation

Uniform-density Bose-Einstein condensates of the Gross-Pitaevskii equation found by solving the inverse problem for the confining potential

Stability of exact solutions of the (2 + 1)-dimensional nonlinear Schrödinger equation with arbitrary nonlinearity parameter κ

Stability of trapped solutions of a nonlinear Schrödinger equation with a nonlocal nonlinear self-interaction potential

Behavior of solitary waves of coupled nonlinear Schrödinger equations subjected to complex external periodic potentials with odd- PT symmetry

Stability and response of trapped solitary wave solutions of coupled nonlinear Schrödinger equations in an external, $\mathcal{PT}$- and supersymmetric potential

Collaborators (1)

Efstathios Charalampidis

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