Concepedia
Applied Mathematics Letters · 2019 · 132 citations · 18 references
PhysicsNonlinear Wave PropagationResonance BehaviorMulti-exponential Wave SolutionsIntegrable SystemNonlinear ResonanceExtended Jimbo–miwa EquationsWave Theory
18
Solitons and Infinite Dimensional Lie Algebras
Michio Jimbo, Tetsuji Miwa · Publications of the Research Institute for Mathematical Sciences · 1983 · 1.4K citations · Full text
Lie Algebra, Lie Group, Representation Theory +1
Linear superposition principle applying to Hirota bilinear equations
Wen‐Xiu Ma, Engui Fan · Computers & Mathematics with Applications · 2011 · 446 citations
Nonlinear Functional Analysis, Nonlinear Equation, Linear Equation +1
Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation
Xing Lü, Wen‐Xiu Ma · Nonlinear Dynamics · 2016 · 332 citations
Engineering, Physics, Numerical Simulation +7
Hirota bilinear equations with linear subspaces of solutions
Wen‐Xiu Ma, Yi Zhang, Yaning Tang et al. · Applied Mathematics and Computation · 2012 · 182 citations
Nonlinear Functional Analysis, Nonlinear Equation, Hirota Bilinear Equations +1
Diversity of exact solutions to a (3+1)-dimensional nonlinear evolution equation and its reduction
Yu-Hang Yin, Wen‐Xiu Ma, Jian‐Guo Liu et al. · Computers & Mathematics with Applications · 2018 · 177 citations
Exact Solutions, Nonlinear Equation, Nonlinear Hyperbolic Problem +3