Nonlinear wave mechanics (original) (raw)

Soliton dynamics and nonlinear quantum mechanics

Alessandro Pascolini

Lettere Al Nuovo Cimento Series 2, 1980

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Nonlinear Generalisation of Quantum Mechanics

Alireza Jamali

2021

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The nonlinear Schroedinger equation: Solitons dynamics

Vieri Benci

Journal of Differential Equations, 2010

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Nonlinear wave mechanics from classical dynamics and scale covariance

Fayçal Hammad

Physics Letters, 2007

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Nonlinear waves and solitons in physical systems

James M Hyman

Physica D: Nonlinear Phenomena, 1998

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EDITORIAL: “Solitons, Integrability, Nonlinear Waves: Theory and Applications”

Vladimir Gerdjikov

The European Physical Journal Plus, 2021

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0 Perspectives on Nonlinearity in Quantum Mechanics

Gerald Goldin

2000

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EJTP 3, No. 10 (2006) 39–88 Electronic Journal of Theoretical Physics Nonlinear Field Equations and Solitons as Particles

Attilio Maccari

2006

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Soliton-like solutions for the nonlinear schrödinger equation with variable quadratic hamiltonians

Erwin Suazo

Journal of Russian Laser Research, 2012

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Nonlinear Field Equations and Solitons as Particles

Attilio Maccari

Electronic Journal of Theoretical Physics

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Nonlinear Wave Equations and Solitary Wave Solutions in Mathematical Physics

Alfonso Castro

2012

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Nonlinear Waves: Classical and Quantum Aspects

Fatkhulla Abdullaev

NATO Science Series II: Mathematics, Physics and Chemistry, 2005

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Soliton-like solutions to the ordinary Schroedinger equation

Erasmo Recami

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Soliton-like Solutions for Nonlinear Schroedinger Equation with Variable Quadratic Hamiltonians

rico erwin

2010

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Localized Nonlinear Waves in Systems with Time- and Space-Modulated Nonlinearities

Vladimir V Konotop

Physical Review Letters, 2008

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On soliton dynamics in nonlinear schrödinger equations

Israel Sigal

GAFA Geometric And Functional Analysis, 2006

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Nonlinear theory of oscillating, decaying, and collapsing solitons in the generalized nonlinear Schrödinger equation

Dmitry Pelinovsky

Physical Review E, 1996

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The Nonlinear Schroedinger Equation: Existence, Stability and Dynamics of Solitons

Vieri Benci

Progress In Variational Methods, 2010

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Solutions of the relativistic nonlinear wave equation by solutions of the nonlinear Schrödinger equation

Peter Basarab-Horwath

Reports on Mathematical Physics, 1997

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Soliton-like solutions to the ordinary Schrödinger equation within standard quantum mechanics

Erasmo Recami

Journal of Mathematical Physics, 2012

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Towards a nonlinear quantum physics

J. Croca

2003

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Nonlinear Schrödinger equation: A testing ground for the quantization of nonlinear waves

Franz Krejs

Physical review, 1976

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On the solitary wave dynamics, under slowly varying medium, for nonlinear Schrödinger equations

claudio muñoz

Mathematische Annalen, 2011

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Forced nonlinear Schrödinger equation with arbitrary nonlinearity

Fred Cooper

2012

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Forced Nonlinear Schroedinger Equation with Arbitrary Nonlinearity

Fred Cooper

2011

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Nonlinear relativistic and quantum equations with a common type of solution

Fernando Nobre

2011

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Coz. Multi-speeds solitary waves solutions for nonlinear Schrödinger systems

isabella ianni

2012

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An Introduction to Wave Equations and Solitons

Richard Palais

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A Solvable Model of a Nonlinear extension of Quantum Mechanics

Alan Chodos

arXiv (Cornell University), 2022

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Travelling-wave and separated variable solutions of a nonlinear Schroedinger equation

Tassos Bountis

Journal of Mathematical Physics, 2016

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On a novel integrable generalization of the nonlinear Schrödinger equation

A. Fokas

Nonlinearity, 2009

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Exact solutions of a nonpolynomially nonlinear Schrödinger equation

Rajesh Parwani

Physics Letters A, 2007

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Nonlinear Vibrations and the Wave Equation

Haraux Alain

SpringerBriefs in Mathematics

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0 A pr 2 00 8 COLLIDING SOLITONS FOR THE NONLINEAR SCHRÖDINGER EQUATION

Israel Sigal

2021

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Dispersive blow-up for nonlinear Schrödinger equations revisited

Christof Sparber

Journal de Mathématiques Pures et Appliquées, 2014

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