Hao-Dong Liu

N-Soliton and Other Analytic Solutions for a ($$3 + 1$$)-Dimensional Korteweg–de Vries–Calogero–Bogoyavlenskii–Schiff Equation with the Time-Dependent Coefficients for the Shallow Water Waves

Hong-Wen Shan, Bo Tian, Chong-Dong Cheng et al. · Qualitative Theory of Dynamical Systems · 2024 · 127 citations

Other Analytic Solutions, Physics, Time-dependent Coefficients +4

N-soliton, Hth-order breather, hybrid and multi-pole solutions for a generalized variable-coefficient Gardner equation with an external force in a plasma or fluid

Hao-Dong Liu, Bo Tian, Yu-Qi Chen et al. · Nonlinear Dynamics · 2024 · 126 citations

External Force, Multi-pole Solutions, Topological Soliton +4

Integrability, bilinearization, Bäcklund transformations and solutions for a generalized variable-coefficient Gardner equation with an external-force term in a fluid or plasma

Hao-Dong Liu, Bo Tian, Shu-Peng Feng et al. · Nonlinear Dynamics · 2024 · 20 citations

External-force Term, Backlund Transformation, Nonlinear Hyperbolic Problem +3

Painlevé Analysis, Bilinear Forms, Bäcklund Transformations and Solitons for a Variable-Coefficient Extended Korteweg-de Vries Equation with an External-Force Term in Fluid Mechanics and Plasma Dynamics

Hao-Dong Liu, Bo Tian, Chong-Dong Cheng et al. · Qualitative Theory of Dynamical Systems · 2024 · 14 citations

Fluid Mechanics, External-force Term, Backlund Transformation +6