☆ 4.7 Article

Darboux transformation and soliton solutions for nonlocal Kundu-NLS equation

NONLINEAR DYNAMICS (2023)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Engineering, Mechanical

Dynamic behaviors of soliton solutions for a three-coupled Lakshmanan-Porsezian-Daniel model

Bei-Bei Hu et al.

Summary: In this paper, the integrable three-coupled LPD model is investigated using the RH approach. The N-soliton solutions of the model are obtained through the spectral analysis of Lax pair. The nonlinear dynamical behaviors of different soliton solutions are also studied, and an integrable generalized N-component LPD model with linear spectral problem is discussed.

NONLINEAR DYNAMICS (2022)

添加到收藏夹

Article Mathematics, Applied

Darboux transformation to the nonlocal complex short pulse equation

Jian Li et al.

Summary: In this paper, a nonlocal complex short pulse equation is proposed and the Darboux transformation is constructed for it. By utilizing a seed solution, solutions composed of periodic waves and rogue waves are obtained.

APPLIED MATHEMATICS LETTERS (2022)

添加到收藏夹

Article Engineering, Mechanical

Novel solitons and higher-order solitons for the nonlocal generalized Sasa-Satsuma equation of reverse-space-time type

Minmin Wang et al.

Summary: The general soliton solutions and higher-order soliton solutions for the nonlocal generalized Sasa-Satsuma (SS) equation are explored. The study derived a novel nonlocal generalized SS equation, considered conservation laws, and obtained symmetry properties and nonlocal constraints. The N-soliton formula and higher-order soliton formulas were constructed using the Riemann-Hilbert problem and nonlocal properties. The study also exhibited and explored new patterns and unusual dynamical behaviors of the soliton solutions.

NONLINEAR DYNAMICS (2022)

添加到收藏夹

Article Mathematics, Applied

On the Riemann-Hilbert problem for the integrable three-coupled Hirota system with a 4? 4 matrix Lax pair

Beibei Hu et al.

Summary: In this work, we investigate a complete integrable variable coefficient three-coupled Hirota system and discuss its spectral problem and initial-boundary value problems. We also discover a key relationship among the three spectral functions.

APPLIED MATHEMATICS AND COMPUTATION (2022)

添加到收藏夹

Article Mathematics, Applied

N-soliton solutions for the nonlocal Fokas-Lenells equation via RHP

Jian Li et al.

Summary: This paper focuses on studying the N-soliton solutions for the nonlocal Fokas-Lenells equation. By constructing the matrix Riemann-Hilbert problem and analyzing the scattering relationship, explicit N-soliton solutions for this system are provided.

APPLIED MATHEMATICS LETTERS (2021)

添加到收藏夹

Article Mathematics, Applied

A Riemann-Hilbert approach to the Kundu-nonlinear Schr?dinger equation and its multi-component generalization

Jian Li et al.

Summary: This paper focused on studying the N-soliton solutions for the Kundu nonlinear Schrodinger equation. By constructing the matrix Riemann-Hilbert problem and analyzing the spectral problem of the Lax pair, explicit N-soliton solutions for this system were obtained. Additionally, the multi-component Kundu-nonlinear Schrodinger system was generalized and its N-soliton solutions were simplified.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2021)

添加到收藏夹

Article Mathematics, Applied

Darboux transformations and solutions of nonlocal Hirota and Maxwell-Bloch equations

Ling An et al.

Summary: This paper introduces two new types of nonlocal Hirota and Maxwell-Bloch (NH-MB) systems, namely, the PT-symmetric NH-MB system and the reverse space-time NH-MB system, based on the original H-MB system. Darboux transformations were then constructed for these NH-MB systems, leading to explicit solutions being derived.

STUDIES IN APPLIED MATHEMATICS (2021)

添加到收藏夹

Article Mathematics, Applied

Integrability, Darboux transformation and exact solutions for nonlocal couplings of AKNS equations

Xiangpeng Xin et al.

Summary: This paper investigates for the first time the integrable nonlocal couplings of Ablowitz-Kaup-Newell-Segur (NC-AKNS) equations. With the help of symmetry reduction method, the NC-AKNS equations are constructed, showing that this method can not only construct a single nonlocal equation, but also a set of equations. The Darboux transformation method is used to study the exact solutions of these nonlocal equations, resulting in a 1-fold Darboux transformation and the construction of two types of soliton solutions.

APPLIED MATHEMATICS LETTERS (2021)

添加到收藏夹

Article Mathematics, Applied

On the Riemann-Hilbert problem for the mixed Chen-Lee-Liu derivative nonlinear Schrodinger equation

Beibei Hu et al.

Summary: In this work, a matrix Riemann-Hilbert problem for a mixed Chen-Lee-Liu derivative nonlinear Schrodinger equation on the half-line is established using the unified transformation approach. The solution satisfying initial-boundary value data is reconstructed by solving the matrix Riemann-Hilbert problem. The spectral functions are not independent but enjoy a compatibility condition known as the global relation.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2021)

添加到收藏夹

Article Physics, Applied

N-soliton solutions for the Maxwell-Bloch equations via the Riemann-Hilbert approach

Yan Li et al.

Summary: In this paper, N-soliton solutions for the Maxwell-Bloch equations were studied using the Riemann-Hilbert (RH) approach. The relevant RH problem was constructed through spectral analysis of Lax pair. Subsequently, the jump matrix of the Maxwell-Bloch equations was obtained. Finally, exact solutions of the Maxwell-Bloch equations were obtained by solving a special RH problem with a reflectionless case.

MODERN PHYSICS LETTERS B (2021)

添加到收藏夹

Article Engineering, Mechanical

Multi-soliton solutions of the N-component nonlinear Schrodinger equations via Riemann-Hilbert approach

Yan Li et al.

Summary: In this paper, the Riemann-Hilbert approach is used to discuss multi-soliton solutions of the N-component nonlinear Schrodinger equations. Through transformed Lax pair, matrix-valued functions are constructed and multi-soliton solutions are obtained in the reflectionless case. Specifically, 2-soliton solutions of the three-component nonlinear Schrodinger equations are given along with corresponding diagrams.

NONLINEAR DYNAMICS (2021)

添加到收藏夹

Article Engineering, Mechanical

Nonlocal continuous Hirota equation: Darboux transformation and symmetry broken and unbroken soliton solutions

Na-Na Li et al.

Summary: This paper discusses a nonlocal Hirota equation and establishes its integrability through associated Lax pair and zero curvature condition. N-fold Darboux transformation is constructed and bright and dark soliton solutions are obtained. The formation of the two types of solitons is attributed to changes in self-induced potential, with the bright solitons showing stability under the same parameter values.

NONLINEAR DYNAMICS (2021)

添加到收藏夹

Article Engineering, Mechanical

Bidirectional solitons and interaction solutions for a new integrable fifth-order nonlinear equation with temporal and spatial dispersion

Gui-Qiong Xu et al.

NONLINEAR DYNAMICS (2020)

添加到收藏夹

Article Mathematics, Applied

Darboux transformation of the variable coefficient nonlocal equation

Xiangpeng Xin et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2020)

添加到收藏夹

Article Mathematics, Applied

Dynamics of soliton solutions of the nonlocal Kundu-nonlinear Schrodinger equation

Xujie Shi et al.

CHAOS (2019)

添加到收藏夹

Article Physics, Applied

Riemann-Hilbert approach for the combined nonlinear Schrodinger and Gerdjikov-Ivanov equation and its N-soliton solutions

Hui Nie et al.

MODERN PHYSICS LETTERS B (2018)

添加到收藏夹

Article Engineering, Mechanical

Darboux transformations for super-Schrodinger equation, super-Dirac equation and their exact solutions

Fajun Yu et al.

NONLINEAR DYNAMICS (2017)

添加到收藏夹

Article Mathematics, Applied

On a nonlocal modified Korteweg-de Vries equation: Integrability, Darboux transformation and soliton solutions

Jia-Liang Ji et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2017)

添加到收藏夹

Article Engineering, Mechanical

A new integrable ()-dimensional KdV-like model with its multiple-soliton solutions

Abdul-Majid Wazwaz et al.

NONLINEAR DYNAMICS (2016)

添加到收藏夹

Article Mathematics, Applied

Inverse scattering transform for the integrable nonlocal nonlinear Schrodinger equation

Mark J. Ablowitz et al.

NONLINEARITY (2016)

添加到收藏夹

Article Physics, Fluids & Plasmas

Dark and antidark soliton interactions in the nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential

Min Li et al.

PHYSICAL REVIEW E (2015)

添加到收藏夹

Article Mathematics, Applied

The Nonlocal Porous Medium Equation: Barenblatt Profiles and Other Weak Solutions

Piotr Biler et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2015)

添加到收藏夹

Article Engineering, Mechanical

Exact solutions for a perturbed nonlinear Schrodinger equation by using Backlund transformations

Hassan A. Zedan et al.

NONLINEAR DYNAMICS (2013)

添加到收藏夹

Article Physics, Multidisciplinary

Integrable Nonlocal Nonlinear Schrodinger Equation

Mark J. Ablowitz et al.

PHYSICAL REVIEW LETTERS (2013)

添加到收藏夹

Article Engineering, Mechanical

Darboux transformation for an integrable generalization of the nonlinear Schrodinger equation

Xianguo Geng et al.

NONLINEAR DYNAMICS (2012)

添加到收藏夹

Article Physics, Fluids & Plasmas

Multisolitons, breathers, and rogue waves for the Hirota equation generated by the Darboux transformation

Yongsheng Tao et al.

PHYSICAL REVIEW E (2012)

添加到收藏夹

Article Physics, Fluids & Plasmas

Nonlinear Schrodinger equation: Generalized Darboux transformation and rogue wave solutions

Boling Guo et al.

PHYSICAL REVIEW E (2012)

添加到收藏夹

Article Physics, Multidisciplinary

An auto-Backlund transformation and exact solutions to a generalized KdV equation with variable coefficients and their applications

ML Wang et al.

PHYSICS LETTERS A (2002)

添加到收藏夹

Article Physics, Multidisciplinary

Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation

EG Fan

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL (2000)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.