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Dissipative character of asymptotics for the nonlinear fractional Schrödinger equation

Journal of mathematical physics, 2019-12, Vol.60 (12)

Naumkin, Pavel I.

2019

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Modified scattering for the higher-order anisotropic nonlinear Schrödinger equation in two space dimensions

Journal of mathematical physics, 2021-07, Vol.62 (7)

2021

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Large time asymptotics of solutions to the periodic problem for the quadratic nonlinear Schrödinger equation

Nonlinear differential equations and applications, 2023-03, Vol.30 (2), Article 23

2023

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On the inhomogeneous fourth-order nonlinear Schrödinger equation

Journal of mathematical physics, 2015-09, Vol.56 (9)

2015

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Modified scattering for the nonlinear nonlocal Schrödinger equation in one-dimensional case

Zeitschrift für angewandte Mathematik und Physik, 2022-02, Vol.73 (1), Article 2

2022

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Global existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrödinger equation in the critical case

Nonlinear analysis, 2015-04, Vol.116, p.112-131

2015

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Self-similar asymptotics for solutions to the intermediate long-wave equation

Journal of evolution equations, 2019-09, Vol.19 (3), p.729-770

2019

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Large Time Asymptotics for the Fractional Order Cubic Nonlinear Schrödinger Equations

Annales Henri Poincaré, 2017-03, Vol.18 (3), p.1025-1054

2017

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Upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations

Communications on pure and applied analysis, 2017-11, Vol.16 (6), p.2089-2104

2017

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Time Decay for Nonlinear Dissipative Schrödinger Equations in Optical Fields

Advances in Mathematical Physics, 2016-01, Vol.2016 (2016), p.1-7

2016

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Quadratic nonlinear Klein-Gordon equation in one dimension

Journal of mathematical physics, 2012-10, Vol.53 (10)

2012

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Modified Wave Operator for a System of Nonlinear Schrödinger Equations in 2d

Communications in partial differential equations, 2012-06, Vol.37 (6), p.947-968

2012

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Critical nonlinear Schrödinger equations in higher space dimensions

Journal of the Mathematical Society of Japan, 2018-10, Vol.70 (4)

2018

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Global existence of small solutions for the fourth-order nonlinear Schrödinger equation

Nonlinear differential equations and applications, 2016-12, Vol.23 (6), Article 65

2016

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Factorization technique for the modified Korteweg-de Vries equation

SUT journal of mathematics, 2016, Vol.52 (1)

2016

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Scattering of solutions to the fourth-order nonlinear Schrödinger equation

Communications in contemporary mathematics, 2016-06, Vol.18 (3), p.1550035

2016

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Nonexistence of the usual scattering states for the generalized Ostrovsky-Hunter equation

Journal of mathematical physics, 2014-05, Vol.55 (5)

2014

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Analyticity of Solutions to the Non Gauge Invariant Schrödinger Equations

Funkcialaj Ekvacioj, 2017, Vol.60(1), pp.65-75

2017

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Modified scattering for the fractional mKdV equation

Journal of evolution equations, 2023-09, Vol.23 (3), Article 61

2023

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Remark on the global existence and large time asymptotics of solutions for the quadratic NLS

Nonlinear analysis, 2011-12, Vol.74 (18), p.6950-6964

2011

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Asymptotics for the fourth-order nonlinear Schrödinger equation in 2D

Communications in contemporary mathematics, 2022-02, Vol.24 (1)

Naumkin, Pavel I.

2022

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Modified scattering for the higher-order KdV–BBM equations

Journal of pseudo-differential operators and applications, 2024-03, Vol.15 (1), Article 16

2024

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Dissipative property for higher order nonlinear Schrödinger equation

Nonlinear analysis, 2019-11, Vol.188, p.91-124

2019

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Modified Scattering Operator for the Derivative Nonlinear Schrödinger Equation

SIAM journal on mathematical analysis, 2013-01, Vol.45 (6), p.3854-3871

2013

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Final state problem for the cubic nonlinear Klein–Gordon equation

Journal of mathematical physics, 2009-10, Vol.50 (10), p.103511-103511-14

2009

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Dissipative character of asymptotics for the nonlinear fractional Schrödinger equation

Modified scattering for the higher-order anisotropic nonlinear Schrödinger equation in two space dimensions

Large time asymptotics of solutions to the periodic problem for the quadratic nonlinear Schrödinger equation

On the inhomogeneous fourth-order nonlinear Schrödinger equation

Modified scattering for the nonlinear nonlocal Schrödinger equation in one-dimensional case

Global existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrödinger equation in the critical case

Self-similar asymptotics for solutions to the intermediate long-wave equation

Large Time Asymptotics for the Fractional Order Cubic Nonlinear Schrödinger Equations

Upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations

Time Decay for Nonlinear Dissipative Schrödinger Equations in Optical Fields

Quadratic nonlinear Klein-Gordon equation in one dimension

Modified Wave Operator for a System of Nonlinear Schrödinger Equations in 2d

Critical nonlinear Schrödinger equations in higher space dimensions

Global existence of small solutions for the fourth-order nonlinear Schrödinger equation

Factorization technique for the modified Korteweg-de Vries equation

Scattering of solutions to the fourth-order nonlinear Schrödinger equation

Nonexistence of the usual scattering states for the generalized Ostrovsky-Hunter equation

Analyticity of Solutions to the Non Gauge Invariant Schrödinger Equations

Modified scattering for the fractional mKdV equation

Remark on the global existence and large time asymptotics of solutions for the quadratic NLS

Asymptotics for the fourth-order nonlinear Schrödinger equation in 2D

Modified scattering for the higher-order KdV–BBM equations

Dissipative property for higher order nonlinear Schrödinger equation

Modified Scattering Operator for the Derivative Nonlinear Schrödinger Equation

Final state problem for the cubic nonlinear Klein–Gordon equation

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