Bright solitons for the (2+1)-dimensional coupled nonlinear Schrödinger equations in a graded-index waveguide. - Xi-Yang Xie; Bo Tian; Wen-Rong Sun; Ya Sun (Commun. Nonlinear Sci. Numer. Simul., 2015)

Solitons and rouge waves for a generalized (3+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics. - Jun Chai; Bo Tian; Wen-Rong Sun; Xi-Yang Xie (Comput. Math. Appl., 2016)

Analytic study on a (2+1)-dimensional nonlinear Schrödinger equation in the Heisenberg ferromagnetism. - Deyin Liu; Bo Tian; Yan Jiang 001; Xi-Yang Xie; Xiao-Yu Wu (Comput. Math. Appl., 2016)

Conservation laws, bilinear Bäcklund transformations and solitons for a nonautonomous nonlinear Schrödinger equation with external potentials. - Jun Chai; Bo Tian; Xi-Yang Xie; Ya Sun (Commun. Nonlinear Sci. Numer. Simul., 2016)

High-order rogue waves of the coupled nonlinear Schrödinger equations with negative coherent coupling in an isotropic medium. - Wen-Rong Sun; Bo Tian; Xi-Yang Xie; Jun Chai; Yan Jiang 001 (Commun. Nonlinear Sci. Numer. Simul., 2016)

Rogue-wave solutions for an inhomogeneous nonlinear system in a geophysical fluid or inhomogeneous optical medium. - Xi-Yang Xie; Bo Tian; Yan Jiang 001; Wen-Rong Sun; Ya Sun; Yi-Tian Gao (Commun. Nonlinear Sci. Numer. Simul., 2016)

Bright solitons for a generalized nonautonomous nonlinear equation in a nonlinear inhomogeneous fiber. - Xi-Yang Xie; Bo Tian; Lei Liu; Yue-Yang Guan; Yan Jiang 001 (Commun. Nonlinear Sci. Numer. Simul., 2017)

Soliton collisions for the Kundu-Eckhaus equation with variable coefficients in an optical fiber. - Xi-Yang Xie; Ze-Hui Yan (Appl. Math. Lett., 2018)

Analytic solutions for the (2+1)-dimensional generalized sine-Gordon equations in nonlinear optics. - Gao-Qing Meng; Yu-Song Pan; Hao-feng Tan; Xi-Yang Xie (Comput. Math. Appl., 2018)

Multi-dark soliton solutions for a coupled AB system in the geophysical flows. - Xi-Yang Xie; Gao-Qing Meng (Appl. Math. Lett., 2019)

Elastic and inelastic collisions of the semirational solutions for the coupled Hirota equations in a birefringent fiber. - Xi-Yang Xie; Xiao-Bing Liu (Appl. Math. Lett., 2020)

Degenerate soliton, breather and localized solutions for a nonlinear Schrödinger and Maxwell-Bloch system. - Yun-Shan Xiao; Song-Hua Hu; Yi-Dong Jin; Xi-Yang Xie (Appl. Math. Lett., 2021)

Numerical study of vector solitons with the oscillatory phase backgrounds in the integrable coupled nonlinear Schrödinger equations. - Lei Liu 052; Xuan-Xuan Zhou; Xi-Yang Xie; Wen-Rong Sun (Math. Comput. Simul., 2025)