Darboux transformation and explicit solutions for the Satsuma-Hirota coupled equation. - Xianguo Geng; Guoliang He (Appl. Math. Comput., 2010)

A new super-extension of the KdV hierarchy. - Xianguo Geng; Lihua Wu (Appl. Math. Lett., 2010)

N-soliton and quasi-periodic solutions of the KdV6 equations. - Xianguo Geng; Bo Xue 003 (Appl. Math. Comput., 2012)

Darboux and Bäcklund transformations of the bidirectional Sawada-Kotera equation. - Yunling Ma; Xianguo Geng (Appl. Math. Comput., 2012)

The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws. - Lihua Wu; Guoliang He; Xianguo Geng (Appl. Math. Comput., 2013)

Quasi-periodic Solutions of the Kaup-Kupershmidt Hierarchy. - Xianguo Geng; Lihua Wu; Guoliang He (J. Nonlinear Sci., 2013)

Explicit solutions for a hierarchy of differential-difference equations. - Dong Gong; Xianguo Geng (Appl. Math. Comput., 2014)

A super hierarchy of coupled derivative nonlinear Schrödinger equations and conservation laws. - Guoliang He; Yunyun Zhai; Xianguo Geng (Commun. Nonlinear Sci. Numer. Simul., 2014)

Nonlinear Super Integrable Couplings of Super Classical-Boussinesq Hierarchy. - Xiuzhi Xing; Jingzhu Wu; Xianguo Geng (J. Appl. Math., 2014)

Algebro-geometric Quasi-periodic Solutions to the Three-Wave Resonant Interaction Hierarchy. - Guoliang He; Xianguo Geng; Lihua Wu (SIAM J. Math. Anal., 2014)

A hierarchy of new nonlinear evolution equations and generalized bi-Hamiltonian structures. - Jiao Wei; Xianguo Geng (Appl. Math. Comput., 2015)

A new integrable equation with peakons and cuspons and its bi-Hamiltonian structure. - Xianguo Geng; Ruomeng Li; Bo Xue 003 (Appl. Math. Lett., 2015)

A vector generalization of Volterra type differential-difference equations. - Jiao Wei; Xianguo Geng (Appl. Math. Lett., 2016)

Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation. - Jianping Wu; Xianguo Geng (Commun. Nonlinear Sci. Numer. Simul., 2017)

A super Sasa-Satsuma hierarchy and bi-Hamiltonian structures. - Jiao Wei; Xianguo Geng (Appl. Math. Lett., 2018)

Periodic and rational solutions of the reduced Maxwell-Bloch equations. - Jiao Wei; Xin Wang; Xianguo Geng (Commun. Nonlinear Sci. Numer. Simul., 2018)

The Nonlinear Steepest Descent Method to Long-Time Asymptotics of the Coupled Nonlinear Schrödinger Equation. - Xianguo Geng; Huan Liu (J. Nonlinear Sci., 2018)

Exact solutions of a negative matrix AKNS system with a Hermitian symmetric space. - Jing Shen; Xianguo Geng; Bo Xue 003 (Appl. Math. Lett., 2019)

Modulation instability and dynamics for the Hermitian symmetric space derivative nonlinear Schrödinger equation. - Jing Shen; Xianguo Geng; Bo Xue 003 (Commun. Nonlinear Sci. Numer. Simul., 2019)

Rogue periodic waves of the sine-Gordon equation. - Ruomeng Li; Xianguo Geng (Appl. Math. Lett., 2020)

Mean escape time for randomly switching narrow gates in a steady flow. - Hui Wang; Jinqiao Duan; Xianguo Geng; Ying Chao (Comput. Math. Appl., 2020)

A matrix Yajima-Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions. - Ruomeng Li; Xianguo Geng (Commun. Nonlinear Sci. Numer. Simul., 2020)

Rational solutions for a (3+1)-dimensional nonlinear evolution equation. - Xin Wang; Jiao Wei; Xianguo Geng (Commun. Nonlinear Sci. Numer. Simul., 2020)

A Vector General Nonlinear Schrödinger Equation with (m+n) Components. - Xianguo Geng; Ruomeng Li; Bo Xue 003 (J. Nonlinear Sci., 2020)

Coupled derivative nonlinear Schrödinger III equation: Darboux transformation and higher-order rogue waves in a two-mode nonlinear fiber. - Yunyun Zhai; Ting Ji; Xianguo Geng (Appl. Math. Comput., 2021)

An integrable generalized Korteweg-de Vries equation with pseudo-peakons. - Kedong Wang; Mingming Chen; Ruomeng Li; Xianguo Geng (Appl. Math. Lett., 2021)

A Degasperis-Procesi equation II with multi-peakon solutions. - Bo Xue 003; Huiling Du; Xianguo Geng (Appl. Math. Lett., 2021)

Algebro-Geometric Quasi-Periodic Solutions to the Bogoyavlensky Lattice 2(3) Equations. - Minxin Jia; Xianguo Geng; Jiao Wei (J. Nonlinear Sci., 2022)

Rogue-wave and breather solutions of the Fokas-Lenells equation on theta-function backgrounds. - Ruomeng Li; Jingru Geng; Xianguo Geng (Appl. Math. Lett., 2023)

Spectral and soliton structures for the four-component Kaup-Newell type negative flow equation. - Feiying Yan; Xianguo Geng; Ruomeng Li (Commun. Nonlinear Sci. Numer. Simul., 2023)

New integrable peakon equation and its dynamic system. - Bo Xue 003; Huiling Du; Xianguo Geng (Appl. Math. Lett., 2023)

Localized waves on the periodic background for the Hermitian symmetric space derivative nonlinear Schrödinger equation. - Jing Shen; Huan Liu; Fang Li; Xianguo Geng (Appl. Math. Lett., 2024)

Multiple Higher-Order Pole Solutions in Spinor Bose-Einstein Condensates. - Huan Liu; Jing Shen; Xianguo Geng (J. Nonlinear Sci., 2024)

Coupled five-point lattices: Lax pairs and Hamiltonian structures. - Minxin Jia; Xianguo Geng (Appl. Math. Lett., 2025)