Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation. - Xin-Yi Gao (Appl. Math. Lett., 2017)

Mathematical view with observational/experimental consideration on certain (2+1)-dimensional waves in the cosmic/laboratory dusty plasmas. - Xin-Yi Gao (Appl. Math. Lett., 2019)

Water-wave symbolic computation for the Earth, Enceladus and Titan: The higher-order Boussinesq-Burgers system, auto- and non-auto-Bäcklund transformations. - Xin-Yi Gao; Yong-Jiang Guo; Wen-Rui Shan (Appl. Math. Lett., 2020)

Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system. - Xin-Yi Gao; Yong-Jiang Guo; Wen-Rui Shan (Appl. Math. Lett., 2021)

Magneto-optical/ferromagnetic-material computation: Bäcklund transformations, bilinear forms and N solitons for a generalized (3+1)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system. - Xin-Yi Gao; Yong-Jiang Guo; Wen-Rui Shan; Yu-Qiang Yuan; Chen-Rong Zhang; Su-Su Chen (Appl. Math. Lett., 2021)

Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system. - Xin-Yi Gao; Yong-Jiang Guo; Wen-Rui Shan (Appl. Math. Lett., 2022)

Certain electromagnetic waves in a ferromagnetic film. - Xin-Yi Gao; Yong-Jiang Guo; Wen-Rui Shan; Hui-Min Yin; Xia-Xia Du; Dan-Yu Yang (Commun. Nonlinear Sci. Numer. Simul., 2022)

Ultra-short optical pulses in a birefringent fiber via a generalized coupled Hirota system with the singular manifold and symbolic computation. - Xin-Yi Gao; Yong-Jiang Guo; Wen-Rui Shan (Appl. Math. Lett., 2023)

Two-layer-liquid and lattice considerations through a (3+1)-dimensional generalized Yu-Toda-Sasa-Fukuyama system. - Xin-Yi Gao (Appl. Math. Lett., 2024)

In plasma physics and fluid dynamics: Symbolic computation on a (2+1)-dimensional variable-coefficient Sawada-Kotera system. - Xin-Yi Gao (Appl. Math. Lett., 2025)

Inhomogeneity, magnetic auto-Bäcklund transformations and magnetic solitons for a generalized variable-coefficient Kraenkel-Manna-Merle system in a deformed ferrite. - Xin-Yi Gao; Jian-Guo Liu 008; Gang-Wei Wang (Appl. Math. Lett., 2025)

A new (2+1)-dimensional like-Harry-Dym equation with derivation and soliton solutions. - Gangwei Wang; Zixuan Tan; Xin-Yi Gao; Jian-Guo Liu 008 (Appl. Math. Lett., 2026)