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Adiabatic perturbation theory for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions

Theoretical and mathematical physics, 2024-07, Vol.220 (1), p.1201-1223

Rothos, V. M.

2024

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Bifurcation Results for Traveling Waves in Nonlinear Magnetic Metamaterials

International journal of bifurcation and chaos in applied sciences and engineering, 2014-11, Vol.24 (11), p.1450147

2014

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Dissipative soliton dynamics of the Landau–Lifshitz–Gilbert equation

Theoretical and mathematical physics, 2023-05, Vol.215 (2), p.622-635

2023

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Nonlinear wave propagation in discrete and continuous systems

The European physical journal. ST, Special topics, 2016-09, Vol.225 (6-7), p.943-958

Rothos, V.M.

2016

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Dynamic interactions of traveling waves propagating in a linear chain with an local essentially nonlinear attachment

Wave motion, 2009-04, Vol.46 (3), p.174-188

2009

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Stability of localized structures in generalized DNLS equations near the anti-continuum limit

Journal of physics. A, Mathematical and theoretical, 2009-01, Vol.42 (2), p.025207-025207 (13)

2009

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Stability of waves in multi-component DNLS system

Journal of physics. A, Mathematical and theoretical, 2007-04, Vol.40 (17), p.4553-4566

2007

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Homoclinic chaos in a pair of parametrically-driven coupled SQUIDs

Journal of physics. Conference series, 2015-01, Vol.574 (1), p.12027-4

2015

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Stability of gap solitons in the presence of a weak nonlocality in periodic potentials

The European physical journal. ST, Special topics, 2016-09, Vol.225 (6-7), p.1187-1197

2016

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Direct perturbation theory for dark-bright solitons: Application to Bose-Einstein condensates

Journal of physics. A, Mathematical and theoretical, 2016-01, Vol.49 (1), p.15202

2016

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Gain–loss-driven travelling waves in PT-symmetric nonlinear metamaterials

Wave motion, 2018-01, Vol.76, p.9-18

2018

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Homoclinic chaos in coupled SQUIDs

Chaos, solitons and fractals, 2017-06, Vol.99, p.133-140

2017

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Asymptotic expansions and solitons of the Camassa–Holm – nonlinear Schrödinger equation

Physics letters. A, 2017-12, Vol.381 (48), p.3965-3971

2017

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A new barrier to the existence of moving kinks in Frenkel–Kontorova lattices

Physica. D, 2003-12, Vol.186 (3), p.148-170

2003

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Travelling waves in nonlinear magneto-inductive lattices

Journal of Differential Equations, 2016-01, Vol.260 (2), p.1717-1746

2016

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Dynamics of the Ablowitz-Ladik soliton train

Physical review. E, Statistical, nonlinear, and soft matter physics, 2004-05, Vol.69 (5 Pt 2), p.056607-056607, Article 056607

2004

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CHAOTIC ROTATIONS OF AN ASYMMETRIC BODY WITH TIME-DEPENDENT MOMENTS OF INERTIA AND VISCOUS DRAG

International journal of bifurcation and chaos in applied sciences and engineering, 2003-02, Vol.13 (2), p.393-409

2003

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Periodic Travelling Waves of Forced FPU Lattices

Journal of dynamics and differential equations, 2013-09, Vol.25 (3), p.795-820

2013

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Šilnikov manifolds in coupled nonlinear Schrödinger equations

Physics letters. A, 1999-11, Vol.263 (3), p.175-185

1999

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A criterion for non-persistence of travelling breathers for perturbations of the Ablowitz--Ladik lattice

Discrete and continuous dynamical systems. Series B, 2004, Vol.4 (4), p.911-920

2004

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Perturbation-induced radiation by the Ablowitz-Ladik soliton

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2003-12, Vol.68 (6 Pt 2), p.066610-066610, Article 066610

2003

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Homoclinic orbits for soliton equations solvable via the quadratic bundle

Physics letters. A, 2003-07, Vol.314 (1), p.59-67

2003

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Bifurcations of travelling wave solutions in the discrete NLS equations

Physica. D, 2005-03, Vol.202 (1), p.16-36

2005

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Statics and dynamics of atomic dark-bright solitons in the presence of impurities

Physical review. A, Atomic, molecular, and optical physics, 2011-11, Vol.84 (5), Article 053626

2011

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Evans Function for Lax Operators with Algebraically Decaying Potentials

Journal of nonlinear science, 2006-01, Vol.16 (1), p.1-44

2006

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Adiabatic perturbation theory for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions

Bifurcation Results for Traveling Waves in Nonlinear Magnetic Metamaterials

Dissipative soliton dynamics of the Landau–Lifshitz–Gilbert equation

Nonlinear wave propagation in discrete and continuous systems

Dynamic interactions of traveling waves propagating in a linear chain with an local essentially nonlinear attachment

Stability of localized structures in generalized DNLS equations near the anti-continuum limit

Stability of waves in multi-component DNLS system

Homoclinic chaos in a pair of parametrically-driven coupled SQUIDs

Stability of gap solitons in the presence of a weak nonlocality in periodic potentials

Direct perturbation theory for dark-bright solitons: Application to Bose-Einstein condensates

Gain–loss-driven travelling waves in PT-symmetric nonlinear metamaterials

Homoclinic chaos in coupled SQUIDs

Asymptotic expansions and solitons of the Camassa–Holm – nonlinear Schrödinger equation

A new barrier to the existence of moving kinks in Frenkel–Kontorova lattices

Travelling waves in nonlinear magneto-inductive lattices

Dynamics of the Ablowitz-Ladik soliton train

CHAOTIC ROTATIONS OF AN ASYMMETRIC BODY WITH TIME-DEPENDENT MOMENTS OF INERTIA AND VISCOUS DRAG

Periodic Travelling Waves of Forced FPU Lattices

Šilnikov manifolds in coupled nonlinear Schrödinger equations

A criterion for non-persistence of travelling breathers for perturbations of the Ablowitz--Ladik lattice

Perturbation-induced radiation by the Ablowitz-Ladik soliton

Homoclinic orbits for soliton equations solvable via the quadratic bundle

Bifurcations of travelling wave solutions in the discrete NLS equations

Statics and dynamics of atomic dark-bright solitons in the presence of impurities

Evans Function for Lax Operators with Algebraically Decaying Potentials

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