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Initial–boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method

Journal of Differential Equations, 2017-01, Vol.262 (1), p.506-558

Tian, Shou-Fu

2017

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The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2016-11, Vol.472 (2195), p.20160588-20160588

Tian, Shou-Fu

2016

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A symmetry-preserving difference scheme and analytical solutions of a generalized higher-order beam equation

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2021-11, Vol.477 (2255)

2021

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Dynamics of breather waves and higher-order rogue waves in a coupled nonlinear Schrödinger equation

Europhysics letters, 2018-10, Vol.123 (5), p.50005

2018

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Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equation

Computers & mathematics with applications (1987), 2018-07, Vol.76 (1), p.179-186

2018

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CHARACTERISTICS OF THE BREATHER AND ROGUE WAVES IN A (2+1)-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION

Proceedings of the American Mathematical Society, 2018-08, Vol.146 (8), p.3353-3365

2018

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Rational and semi‐rational solutions of a nonlocal (2 + 1)‐dimensional nonlinear Schrödinger equation

Mathematical methods in the applied sciences, 2019-12, Vol.42 (18), p.6865-6877

2019

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Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation

Applied mathematics letters, 2020-02, Vol.100, p.106056, Article 106056

Tian, Shou-Fu

2020

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Soliton Resolution for the Wadati–Konno–Ichikawa Equation with Weighted Sobolev Initial Data

Annales Henri Poincaré, 2022-07, Vol.23 (7), p.2611-2655

2022

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Modulation instability analysis and soliton solutions of an integrable coupled nonlinear Schrödinger system

Nonlinear dynamics, 2018-12, Vol.94 (4), p.2749-2761

2018

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Rigorous analysis of the unified transform method and long-range instabilities for the inhomogeneous time-dependent Schrödinger equation on the quarter-plane

Mathematische annalen, 2024-08, Vol.389 (4), p.3535-3602

2024

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Characteristics of the breathers, rogue waves and solitary waves in a generalized (2+1)-dimensional Boussinesq equation

Europhysics letters, 2016-07, Vol.115 (1), p.10002

2016

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On the Integrability of a Generalized Variable-Coefficient Forced Korteweg-de Vries Equation in Fluids

Studies in applied mathematics (Cambridge), 2014-04, Vol.132 (3), p.212-246

2014

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The N‐coupled higher‐order nonlinear Schrödinger equation: Riemann‐Hilbert problem and multi‐soliton solutions

Mathematical methods in the applied sciences, 2020-03, Vol.43 (5), p.2458-2472

2020

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Initial-boundary value problems of the coupled modified Korteweg-de Vries equation on the half-line via the Fokas method

Journal of physics. A, Mathematical and theoretical, 2017-09, Vol.50 (39), p.395204

Tian, Shou-Fu

2017

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Poisson structure and action–angle variables for the Hirota equation

Zeitschrift für angewandte Mathematik und Physik, 2023-12, Vol.74 (6), Article 236

2023

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Riemann‐Hilbert approach for multisoliton solutions of generalized coupled fourth‐order nonlinear Schrödinger equations

Mathematical methods in the applied sciences, 2020-01, Vol.43 (2), p.865-880

2020

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Bäcklund transformation, rogue wave solutions and interaction phenomena for a (3+1)-dimensional B-type Kadomtsev–Petviashvili–Boussinesq equation

Nonlinear dynamics, 2018-04, Vol.92 (2), p.709-720

2018

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Lie symmetries, group classification and conserved quantities of dispersionless Manakov–Santini system in (2+1)-dimension

Indian journal of pure and applied mathematics, 2023-06, Vol.54 (2), p.312-329

2023

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Nonlocal symmetries, conservation laws and interaction solutions for the classical Boussinesq–Burgers equation

Nonlinear dynamics, 2019, Vol.95 (1), p.273-291

2019

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Characteristics of the solitary waves and lump waves with interaction phenomena in a (2 + 1)-dimensional generalized Caudrey–Dodd–Gibbon–Kotera–Sawada equation

Nonlinear dynamics, 2018-09, Vol.93 (4), p.1841-1851

2018

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Quasiperiodic waves, solitary waves and asymptotic properties for a generalized (3 + 1)-dimensional variable-coefficient B-type Kadomtsev–Petviashvili equation

Nonlinear dynamics, 2017-05, Vol.88 (3), p.2265-2279

2017

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The bound-state soliton solutions of a higher-order nonlinear Schrödinger equation for inhomogeneous Heisenberg ferromagnetic system

Nonlinear dynamics, 2021-05, Vol.104 (3), p.2639-2652

2021

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Riemann–Hilbert Approach and Multiple Arbitrary-Order Pole Solutions for the Lakshmanan–Porsezian–Daniel Equation with Finite Density Initial Data

Qualitative theory of dynamical systems, 2024-09, Vol.23 (4), Article 176

2024

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Bäcklund transformation, infinite conservation laws and periodic wave solutions of a generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles

Nonlinear dynamics, 2016-02, Vol.83 (3), p.1199-1215

2016

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Initial–boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method

The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method

A symmetry-preserving difference scheme and analytical solutions of a generalized higher-order beam equation

Dynamics of breather waves and higher-order rogue waves in a coupled nonlinear Schrödinger equation

Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equation

CHARACTERISTICS OF THE BREATHER AND ROGUE WAVES IN A (2+1)-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION

Rational and semi‐rational solutions of a nonlocal (2 + 1)‐dimensional nonlinear Schrödinger equation

Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation

Soliton Resolution for the Wadati–Konno–Ichikawa Equation with Weighted Sobolev Initial Data

Modulation instability analysis and soliton solutions of an integrable coupled nonlinear Schrödinger system

Rigorous analysis of the unified transform method and long-range instabilities for the inhomogeneous time-dependent Schrödinger equation on the quarter-plane

Characteristics of the breathers, rogue waves and solitary waves in a generalized (2+1)-dimensional Boussinesq equation

On the Integrability of a Generalized Variable-Coefficient Forced Korteweg-de Vries Equation in Fluids

The N‐coupled higher‐order nonlinear Schrödinger equation: Riemann‐Hilbert problem and multi‐soliton solutions

Initial-boundary value problems of the coupled modified Korteweg-de Vries equation on the half-line via the Fokas method

Poisson structure and action–angle variables for the Hirota equation

Riemann‐Hilbert approach for multisoliton solutions of generalized coupled fourth‐order nonlinear Schrödinger equations

Bäcklund transformation, rogue wave solutions and interaction phenomena for a (3+1)-dimensional B-type Kadomtsev–Petviashvili–Boussinesq equation

Lie symmetries, group classification and conserved quantities of dispersionless Manakov–Santini system in (2+1)-dimension

Nonlocal symmetries, conservation laws and interaction solutions for the classical Boussinesq–Burgers equation

Characteristics of the solitary waves and lump waves with interaction phenomena in a (2 + 1)-dimensional generalized Caudrey–Dodd–Gibbon–Kotera–Sawada equation

Quasiperiodic waves, solitary waves and asymptotic properties for a generalized (3 + 1)-dimensional variable-coefficient B-type Kadomtsev–Petviashvili equation

The bound-state soliton solutions of a higher-order nonlinear Schrödinger equation for inhomogeneous Heisenberg ferromagnetic system

Riemann–Hilbert Approach and Multiple Arbitrary-Order Pole Solutions for the Lakshmanan–Porsezian–Daniel Equation with Finite Density Initial Data

Bäcklund transformation, infinite conservation laws and periodic wave solutions of a generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles

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