Pure soliton solutions of the nonlocal Kundu-nonlinear Schrödinger equation
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Publication:2036320
DOI10.1134/S0040577921010037zbMath1467.81040OpenAlexW3175269505MaRDI QIDQ2036320
Publication date: 29 June 2021
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0040577921010037
inverse scattering transformRiemann-Hilbert problemnonlocal reverse-space higher-order nonlinear Schrödinger equation
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)
Related Items
The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: inverse scattering transform and multisoliton solutions ⋮ Inverse scattering transforms of the inhomogeneous fifth-order nonlinear Schrödinger equation with zero/nonzero boundary conditions ⋮ Exact solutions of the nonlocal Gerdjikov-Ivanov equation ⋮ Multi-soliton solutions for the nonlocal Kundu-nonlinear Schrödinger equation with step-like initial data
Cites Work
- Super Riemann theta function periodic wave solutions and rational characteristics for a supersymmetric KdV-Burgers equation
- The three-component defocusing nonlinear Schrödinger equation with nonzero boundary conditions
- General \(N\)-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations
- Inverse scattering transform for the nonlocal reverse space-time nonlinear Schrödinger equation
- Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions
- Focusing and defocusing mKdV equations with nonzero boundary conditions: inverse scattering transforms and soliton interactions
- Riemann-Hilbert problems of a six-component mKdV system and its soliton solutions
- Inverse scattering transform and soliton classification of higher-order nonlinear Schrödinger-Maxwell-Bloch equations
- Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions
- Inverse scattering transform of an extended nonlinear Schrödinger equation with nonzero boundary conditions and its multisoliton solutions
- Riemann-Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations
- Integrable hierarchy of higher nonlinear Schrödinger type equations
- The Modified Korteweg-de Vries Equation
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- Nonlinear-Evolution Equations of Physical Significance
- The inverse scattering transform for the focusing nonlinear Schrödinger equation with asymmetric boundary conditions
- Faster than Hermitian Quantum Mechanics
- Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
- Inverse scattering transform for the Degasperis–Procesi equation
- The focusing Manakov system with nonzero boundary conditions
- On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
- Inverse scattering transform for the Camassa–Holm equation
- Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions
- Nonlinear evolution equations, rescalings, model PDES and their integrability: I
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- ExactPT-symmetry is equivalent to Hermiticity
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- Method for Solving the Korteweg-deVries Equation
- Characteristics of the breather and rogue waves in a (2+1)-dimensional nonlinear Schrödinger equation
- Integrable Nonlocal Nonlinear Equations
- Dynamics of soliton solutions of the nonlocal Kundu-nonlinear Schrödinger equation
- Physical realization of -symmetric potential scattering in a planar slab waveguide
- 𝓟𝓣-symmetric quantum mechanics
- The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems
- Reverse Space‐Time Nonlocal Sine‐Gordon/Sinh‐Gordon Equations with Nonzero Boundary Conditions
- Inverse scattering transforms and soliton solutions of nonlocal reverse‐space nonlinear Schrödinger hierarchies
- Inverse scattering and soliton solutions of nonlocal reverse-spacetime nonlinear Schrödinger equations
- Inverse Scattering Transform for the Defocusing Manakov System with Nonzero Boundary Conditions
- Darboux transformation and Rogue waves of the Kundu-nonlinear Schrödinger equation
- Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions
- Integrals of nonlinear equations of evolution and solitary waves
