Riemann–Hilbert approach to the modified nonlinear Schrödinger equation with non-vanishing asymptotic boundary conditions

A Robust Inverse Scattering Transform for the Focusing Nonlinear Schrödinger Equation

(2019) Deniz Bilman et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Long-Time Asymptotics for the Nonlocal MKdV Equation

(2019) Feng-Jing He et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Large-Order Asymptotics for Multiple-Pole Solitons of the Focusing Nonlinear Schrödinger Equation

(2019) Deniz Bilman et al.   JOURNAL OF NONLINEAR SCIENCE

Inverse scattering transformation for generalized nonlinear Schrödinger equation

(2019) Xiaoen Zhang et al.   APPLIED MATHEMATICS LETTERS

N-soliton solution for a higher-order Chen–Lee–Liu equation with nonzero boundary conditions

(2019) Yi Zhao et al.   MODERN PHYSICS LETTERS B

Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions

(2018) Mark J. Ablowitz et al.   JOURNAL OF MATHEMATICAL PHYSICS

A Fokas approach to the coupled modified nonlinear Schrödinger equation on the half-line

(2018) Beibei Hu et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

On the focusing non-linear Schrödinger equation with non-zero boundary conditions and double poles

(2016) Monika Pichler et al.   IMA JOURNAL OF APPLIED MATHEMATICS

Discrete solitons of the focusing Ablowitz-Ladik equation with nonzero boundary conditions via inverse scattering

(2016) Barbara Prinari   JOURNAL OF MATHEMATICAL PHYSICS

Long-time asymptotics for the Fokas–Lenells equation with decaying initial value problem: Without solitons

(2015) Jian Xu et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

The focusing Manakov system with nonzero boundary conditions

(2015) Daniel Kraus et al.   NONLINEARITY

Generalized perturbation(n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrödinger equation

(2015) Xiao-Yong Wen et al.   PHYSICAL REVIEW E

The Integrable Nature of Modulational Instability

(2015) Gino Biondini et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

The rational solutions of the mixed nonlinear Schrödinger equation

(2015) Jingsong He et al.   AIP Advances

Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions

(2014) Gino Biondini et al.   JOURNAL OF MATHEMATICAL PHYSICS

Superregular solitonic solutions: a novel scenario for the nonlinear stage of modulation instability

(2014) A A Gelash et al.   NONLINEARITY

Algebro-geometric solutions for the Gerdjikov-Ivanov hierarchy

(2013) Yu Hou et al.   JOURNAL OF MATHEMATICAL PHYSICS

The Inverse Scattering Transform for the Defocusing Nonlinear Schrödinger Equations with Nonzero Boundary Conditions

(2012) F. Demontis et al.   STUDIES IN APPLIED MATHEMATICS

Hamiltonian form of the modified nonlinear Schrödinger equation for gravity waves on arbitrary depth

(2011) ODIN GRAMSTAD et al.   JOURNAL OF FLUID MECHANICS

The N-soliton solution of a two-component modified nonlinear Schrödinger equation

(2011) Yoshimasa Matsuno   PHYSICS LETTERS A

Dark and anti-dark vector solitons of the coupled modified nonlinear Schrödinger equations from the birefringent optical fibers

(2010) Min Li et al.   EUROPEAN PHYSICAL JOURNAL D

Soliton interaction in the coupled mixed derivative nonlinear Schrödinger equations

(2009) Hai-Qiang Zhang et al.   PHYSICS LETTERS A

Collisions of optical ultra-short vector pulses

(2008) Andrzej Janutka   Journal of Physics A-Mathematical and Theoretical

Modulation instability: The beginning

(2008) V.E. Zakharov et al.   PHYSICA D-NONLINEAR PHENOMENA