Works matching AU Geng, Xianguo

Results: 76

Asymptotic Behavior Analysis of Solutions for the Coupled WKI Type Equation With the Schwartz Initial Data.

Published in:

Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 12, p. 12234, doi. 10.1002/mma.11024

By:

Liu, Wenhao;
Qin, Xiaowei;
Geng, Xianguo

Publication type:

Article

Spectral Analysis and Long‐Time Asymptotics for the Reverse Space‐Time Nonlocal Complex Nonlinear Transverse Oscillation Equation.

Published in:

Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 12, p. 11750, doi. 10.1002/mma.10991

By:

Liu, Wenhao;
Zhang, Yufeng;
Geng, Xianguo

Publication type:

Article

Inverse scattering transformation for defocusing N-component NLS with nonzero boundaries.

Published in:

Bulletin of the Malaysian Mathematical Sciences Society, 2025, v. 48, n. 4, p. 1, doi. 10.1007/s40840-025-01885-7

By:

Liu, Huan;
Shen, Jing;
Geng, Xianguo

Publication type:

Article

On a Vector Modified Yajima–Oikawa Long-Wave–Short-Wave Equation.

Published in:

Mathematics (2227-7390), 2019, v. 7, n. 10, p. 958, doi. 10.3390/math7100958

By:

Geng, Xianguo;
Li, Ruomeng

Publication type:

Article

A coupled nonlinear Schrödinger-type equation and its Darboux transformation.

Published in:

Modern Physics Letters B, 2018, v. 32, n. 17, p. N.PAG, doi. 10.1142/S0217984918501920

By:

Geng, Xianguo;
Wei, Jiao;
Xue, Bo

Publication type:

Article

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

Published in:

Modern Physics Letters B, 2018, v. 32, n. 7, p. 1, doi. 10.1142/S0217984918500884

By:

Hui Nie;
Liping Lu;
Xianguo Geng

Publication type:

Article

An extension of the coupled derivative nonlinear Schrödinger hierarchy.

Published in:

Modern Physics Letters B, 2018, v. 32, n. 2, p. -1, doi. 10.1142/S0217984918500161

By:

Xu, Siqi;
Geng, Xianguo;
Xue, Bo

Publication type:

Article

Some generalized coupled nonlinear Schrödinger equations and conservation laws.

Published in:

Modern Physics Letters B, 2017, v. 31, n. 32, p. -1, doi. 10.1142/S0217984917502992

By:

Liu, Wei;
Geng, Xianguo;
Xue, Bo

Publication type:

Article

New hierarchy of integrable nonlinear differential-difference equations.

Published in:

Modern Physics Letters B, 2015, v. 29, n. 31, p. -1, doi. 10.1142/S0217984915501900

By:

Geng, Xianguo;
Guan, Liang;
Xue, Bo

Publication type:

Article

An integrable extension of TD hierarchy and generalized bi-Hamiltonian structures.

Published in:

Modern Physics Letters B, 2015, v. 29, n. 21, p. -1, doi. 10.1142/S021798491550116X

By:

Liu, Huan;
Geng, Xianguo

Publication type:

Article

Soliton resolution for the modified short pulse equation with the weighted Sobolev initial data.

Published in:

Analysis & Applications, 2025, v. 23, n. 3, p. 401, doi. 10.1142/S0219530524500349

By:

Yan, Feiying;
Wang, Jia;
Li, Yihao;
Geng, Xianguo

Publication type:

Article

Long-time asymptotics for the complex nonlinear transverse oscillation equation.

Published in:

Analysis & Applications, 2023, v. 21, n. 2, p. 497, doi. 10.1142/S021953052250004X

By:

Geng, Xianguo;
Liu, Wenhao;
Wang, Kedong;
Chen, Mingming

Publication type:

Article

The coupled Sasa-Satsuma hierarchy: Trigonal curve and finite genus solutions.

Published in:

Analysis & Applications, 2017, v. 15, n. 5, p. 667, doi. 10.1142/S0219530516500214

By:

Zhai, Yunyun;
Geng, Xianguo

Publication type:

Article

Application of tetragonal curves to coupled Boussinesq equations.

Published in:

Letters in Mathematical Physics, 2024, v. 114, n. 1, p. 1, doi. 10.1007/s11005-024-01780-5

By:

Geng, Xianguo;
Jia, Minxin;
Xue, Bo;
Zhai, Yunyun

Publication type:

Article

Inverse scattering transformation for the N-component focusing nonlinear Schrödinger equation with nonzero boundary conditions.

Published in:

Letters in Mathematical Physics, 2023, v. 113, n. 1, p. 1, doi. 10.1007/s11005-023-01643-5

By:

Liu, Huan;
Shen, Jing;
Geng, Xianguo

Publication type:

Article

Three-sheeted Riemann surface and solutions of the Itoh–Narita–Bogoyavlensky lattice hierarchy.

Published in:

Reviews in Mathematical Physics, 2022, v. 34, n. 4, p. 1, doi. 10.1142/S0129055X2250009X

By:

Geng, Xianguo;
Wei, Jiao

Publication type:

Article

Quasi-periodic solutions of the Belov-Chaltikian lattice hierarchy.

Published in:

Reviews in Mathematical Physics, 2017, v. 29, n. 8, p. -1, doi. 10.1142/S0129055X17500258

By:

Geng, Xianguo;
Zeng, Xin

Publication type:

Article

Quasi‐periodic solutions to a hierarchy of integrable nonlinear differential–difference equations.

Published in:

Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 8, p. 8728, doi. 10.1002/mma.9013

By:

Liu, Wei;
Geng, Xianguo

Publication type:

Article

Darboux transformation of a two‐component generalized Sasa–Satsuma equation and explicit solutions.

Published in:

Mathematical Methods in the Applied Sciences, 2021, v. 44, n. 17, p. 12727, doi. 10.1002/mma.7574

By:

Geng, Xianguo;
Li, Yihao;
Wei, Jiao;
Zhai, Yunyun

Publication type:

Article

Darboux transformations for a matrix long‐wave–short‐wave equation and higher‐order rational rogue‐wave solutions.

Published in:

Mathematical Methods in the Applied Sciences, 2020, v. 43, n. 2, p. 948, doi. 10.1002/mma.5976

By:

Li, Ruomeng;
Geng, Xianguo;
Xue, Bo

Publication type:

Article

N solutions for a derivative nonlinear Schrödinger‐type equation via Riemann‐Hilbert approach.

Published in:

Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 4, p. 1653, doi. 10.1002/mma.4693

By:

Geng, Xianguo;
Nie, Hui

Publication type:

Article

Integrable couplings of fractional L-hierarchy and its Hamiltonian structures.

Published in:

Mathematical Methods in the Applied Sciences, 2016, v. 39, n. 14, p. 3925, doi. 10.1002/mma.3618

By:

Wu, Jingzhu;
Xing, Xiuzhi;
Geng, Xianguo

Publication type:

Article

Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications.

Published in:

Mathematical Methods in the Applied Sciences, 2016, v. 39, n. 4, p. 734, doi. 10.1002/mma.3516

By:

Li, Zhu;
Geng, Xianguo;
Guan, Liang

Publication type:

Article

Periodic-background solutions for the Yajima–Oikawa long-wave–short-wave equation.

Published in:

Nonlinear Dynamics, 2022, v. 109, n. 2, p. 1053, doi. 10.1007/s11071-022-07496-2

By:

Li, Ruomeng;
Geng, Xianguo

Publication type:

Article

Spectral analysis and soliton structures for the Hermitian symmetric space Fokas–Lenells equation.

Published in:

Nonlinear Dynamics, 2021, v. 106, n. 1, p. 907, doi. 10.1007/s11071-021-06892-4

By:

Wang, Jia;
Geng, Xianguo;
Xue, Bo

Publication type:

Article

A second-order three-wave interaction system and its rogue wave solutions.

Published in:

Nonlinear Dynamics, 2021, v. 105, n. 3, p. 2575, doi. 10.1007/s11071-021-06727-2

By:

Geng, Xianguo;
Li, Yihao;
Xue, Bo

Publication type:

Article

Riemann–Hilbert approach and N-soliton solutions for a new two-component Sasa–Satsuma equation.

Published in:

Nonlinear Dynamics, 2020, v. 101, n. 1, p. 597, doi. 10.1007/s11071-020-05772-7

By:

Wang, Jia;
Su, Ting;
Geng, Xianguo;
Li, Ruomeng

Publication type:

Article

Finite-Band Solutions for the Hierarchy of Coupled Toda Lattices.

Published in:

Acta Applicandae Mathematicae, 2018, v. 154, n. 1, p. 59, doi. 10.1007/s10440-017-0133-2

By:

Zeng, Xin;
Geng, Xianguo

Publication type:

Article

Algebro-geometric quasiperiodic solutions of the nonlocal reverse space–time sine-Gordon equation.

Published in:

Theoretical & Mathematical Physics, 2025, v. 222, n. 1, p. 69, doi. 10.1134/S0040577925010064

By:

Guan, Liang;
Geng, Xianguo;
Geng, Xue

Publication type:

Article

Algebro-Geometric Integration of the Modified Belov—Chaltikian Lattice Hierarchy.

Published in:

Theoretical & Mathematical Physics, 2019, v. 199, n. 2, p. 675, doi. 10.1134/S0040577919050052

By:

Geng, Xianguo;
Wei, Jiao;
Zeng, Xin

Publication type:

Article

Hermitian symmetric space Fokas–Lenells equation: spectral analysis and long-time asymptotics.

Published in:

IMA Journal of Applied Mathematics, 2022, v. 87, n. 5, p. 852, doi. 10.1093/imamat/hxac025

By:

Geng, Xianguo;
Wang, Kedong;
Chen, Mingming

Publication type:

Article

The vector derivative nonlinear Schrödinger equation on the half-line.

Published in:

IMA Journal of Applied Mathematics, 2018, v. 83, n. 1, p. 148, doi. 10.1093/imamat/hxx039

By:

Liu, Huan;
Geng, Xianguo

Publication type:

Article

Algebro-geometric constructions of quasi-periodic flows of the Newell hierarchy and applications.

Published in:

IMA Journal of Applied Mathematics, 2017, v. 82, n. 1, p. 97, doi. 10.1093/imamat/hxw008

By:

XIANGUO GENG;
HUI WANG

Publication type:

Article

Riemann–Hilbert method to the Ablowitz–Ladik equation: Higher‐order cases.

Published in:

Studies in Applied Mathematics, 2024, v. 153, n. 3, p. 1, doi. 10.1111/sapm.12748

By:

Liu, Huan;
Shen, Jing;
Geng, Xianguo

Publication type:

Article

On a vector long wave‐short wave‐type model.

Published in:

Studies in Applied Mathematics, 2020, v. 144, n. 2, p. 164, doi. 10.1111/sapm.12293

By:

Li, Ruomeng;
Geng, Xianguo

Publication type:

Article

Initial-Boundary Value Problems for the Coupled Nonlinear Schrödinger Equation on the Half-Line.

Published in:

Studies in Applied Mathematics, 2015, v. 135, n. 3, p. 310, doi. 10.1111/sapm.12088

By:

Geng, Xianguo;
Liu, Huan;
Zhu, Junyi

Publication type:

Article

A Super Camassa-Holm Equation with N-Peakon Solutions.

Published in:

Studies in Applied Mathematics, 2013, v. 130, n. 1, p. 1, doi. 10.1111/j.1467-9590.2012.00555.x

By:

Geng, Xianguo;
Xue, Bo;
Wu, Lihua

Publication type:

Article

Quasi-Periodic Solutions of Nonlinear Evolution Equations Associated with a 3 × 3 Matrix Spectral Problem.

Published in:

Studies in Applied Mathematics, 2011, v. 127, n. 2, p. 107, doi. 10.1111/j.1467-9590.2010.00513.x

By:

Geng, Xianguo;
Wu, Lihua;
He, Guoliang

Publication type:

Article

Decomposition of the Discrete Ablowitz–Ladik Hierarchy.

Published in:

Studies in Applied Mathematics, 2007, v. 118, n. 3, p. 281, doi. 10.1111/j.1467-9590.2007.00374.x

By:

Xianguo Geng;
Dai, H. H.;
Junyi Zhu

Publication type:

Article

Algebro-geometric solutions to the Manakov hierarchy.

Published in:

Applicable Analysis, 2016, v. 95, n. 4, p. 769, doi. 10.1080/00036811.2015.1031220

By:

Wu, Lihua;
Geng, Xianguo;
He, Guoliang

Publication type:

Article

Long-time asymptotics for the modified complex short pulse equation.

Published in:

Discrete & Continuous Dynamical Systems: Series A, 2022, v. 42, n. 9, p. 4439, doi. 10.3934/dcds.2022060

By:

Chen, Mingming;
Geng, Xianguo;
Wang, Kedong

Publication type:

Article

Spectral Analysis and Long-Time Asymptotics of a Coupled Nonlinear Schrödinger System.

Published in:

Bulletin of the Malaysian Mathematical Sciences Society, 2022, v. 45, n. 5, p. 2071, doi. 10.1007/s40840-022-01354-5

By:

Wang, Kedong;
Geng, Xianguo;
Chen, Mingming;
Li, Ruomeng

Publication type:

Article

Nonlinear Super Integrable Couplings of Super Classical-Boussinesq Hierarchy.

Published in:

Journal of Applied Mathematics, 2014, p. 1, doi. 10.1155/2014/438741

By:

Xiuzhi Xing;
Jingzhu Wu;
Xianguo Geng

Publication type:

Article

DARBOUX TRANSFORMATION OF THE COUPLED MASSIVE THIRRING MODELS AND EXACT SOLUTIONS.

Published in:

Acta Physica Polonica B, 2023, v. 54, n. 3, p. 1, doi. 10.5506/APhysPolB.54.3-A1

By:

JING SHEN;
XIANGUO GENG

Publication type:

Article

A NEW INTEGRABLE SYMPLECTIC MAP OF BARGMANN TYPE.

Published in:

Acta Physica Polonica B, 2008, v. 39, n. 8, p. 1783

By:

Junyi Zhu;
Xianguo Geng

Publication type:

Article

Algebro-Geometric Solution to the Bullough-Dodd-Zhiber-Shabat Equation.

Published in:

IMRN: International Mathematics Research Notices, 2015, v. 2015, n. 8, p. 2141, doi. 10.1093/imrn/rnt357

By:

Lihua Wu;
Xianguo Geng;
Jinshun Zhang

Publication type:

Article

Three-Component Generalisation of Burgers Equation and Its Bi-Hamiltonian Structures.

Published in:

Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2017, v. 72, n. 5, p. 469, doi. 10.1515/zna-2016-0493

By:

Wei Liu;
Xianguo Geng;
Bo Xue

Publication type:

Article

Quasi-periodic Solutions to the K(−2, −2) Hierarchy.

Published in:

Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2016, v. 71, n. 7, p. 639, doi. 10.1515/zna-2016-0101

By:

Wu, Lihua;
Geng, Xianguo

Publication type:

Article

Long-time asymptotics for the coupled modified complex short-pulse equation.

Published in:

Communications on Pure & Applied Analysis, 2024, v. 23, n. 4, p. 1, doi. 10.3934/cpaa.2024023

By:

Liu, Wenhao;
Geng, Xianguo;
Liu, Huan

Publication type:

Article

Application of the nonlinear steepest descent method to the general coupled nonlinear Schrödinger system.

Published in:

Communications on Pure & Applied Analysis, 2022, v. 21, n. 9, p. 3171, doi. 10.3934/cpaa.2022095

By:

Chen, Mingming;
Geng, Xianguo;
Wang, Kedong;
Xue, Bo

Publication type:

Article