Lie symmetries, exact solutions and conservation laws of the Date–Jimbo–Kashiwara–Miwa equation

Applications of lie groups to differential equations

Acta Applicandae Mathematicae · 1990 · 6K citations

Lie Point Symmetry, Lie Groups, Lie Group +1

A new conservation theorem

Nail H. Ibragimov · Journal of Mathematical Analysis and Applications · 2006 · 908 citations

New Conservation Theorem, Hyperbolic Conservation Law, Global Analysis +1

Transformation groups for soliton equations

Etsurō Date, Michio Jimbo, Masaki Kashiwara et al. · Physica D Nonlinear Phenomena · 1982 · 504 citations

Backlund Transformation, Topological Soliton, Transformation Groups +1

Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable?

Bernadette Dorizzi, B. Grammaticos, A. Ramani et al. · Journal of Mathematical Physics · 1986 · 178 citations

Independent Variables, Integrability Conditions, Kadomtsev–petviashvili Hierarchy Integrable +6

Complex simplified Hirota’s forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV–Sine-Gordon equation

Abdul–Majid Wazwaz, Lakhveer Kaur · Nonlinear Dynamics · 2018 · 85 citations

Complex Soliton Solutions, Topological Soliton, Backlund Transformation +4