Families of non-travelling wave solutions to a generalized variable coefficient two-dimensional KdV equation using symbolic computation

Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

Ryogo Hirota · Physical Review Letters · 1971 · 3K citations

Natural Sciences, Physics, Differential Equations +12

Extended tanh-function method and its applications to nonlinear equations

Engui Fan · Physics Letters A · 2000 · 2K citations

Natural Sciences, Mathematics, Differential Equations +4

Solitary wave solutions of nonlinear wave equations

W. Malfliet · American Journal of Physics · 1992 · 1.5K citations

Natural Sciences, Mathematics, Computational Physics +12

Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics

Mingliang Wang, Yubin Zhou, Zhibin Li · Physics Letters A · 1996 · 984 citations · Full text

Natural Sciences, Mathematics, Physics +11

An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations

E.J. Parkes, B. R. Duffy · Computer Physics Communications · 1996 · 828 citations

Natural Sciences, Mathematics, Differential Equations +7