Concepedia
Computers & Mathematics with Applications · 2018 · 21 citations · 19 references
Topological SolitonLump-type SolutionsNonlinear EquationIntegrable SystemPainlevé AnalysisKp EquationNonlinear Functional Analysis
19
The Painlevé property for partial differential equations
John Weiss, M. Tabor, G. F. Carnevale · Journal of Mathematical Physics · 1983 · 2.1K citations
Geometric Partial Differential Equation, Modified Kdv Equation, Parabolic Equation +5
Lump solutions to the Kadomtsev–Petviashvili equation
Wen‐Xiu Ma · Physics Letters A · 2015 · 881 citations
Lump Solutions, Integrable System
Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
Wen‐Xiu Ma, Yuan Zhou · Journal of Differential Equations · 2017 · 732 citations
Lump Solutions, Geometric Partial Differential Equation, Partial Differential Equations +4
The Painlevé property and singularity analysis of integrable and non-integrable systems
A. Ramani, B. Grammaticos, Tassos Bountis · Physics Reports · 1989 · 557 citations
Singularly Perturbed Problem, Painlevé Property, Integrable System +3
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