695 citations · 1.8k across the 51 of their papers we have counts for
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nlin.SI2004★ 15 cited
Painleve property and the first integrals of nonlinear differential equations
N. A. Kudryashov
Link between the Painleve property and the first integrals of nonlinear ordinary differential equations in polynomial form is discussed. The form of the first integrals of the nonl…
nlin.SI2004★ 695 cited
Simplest equation method to look for exact solutions of nonlinear differential equations
N. A. Kudryashov
New method is presented to look for exact solutions of nonlinear differential equations. Two basic ideas are at the heart of our approach. One of them is to use the general solutio…
nlin.SI2004
Exact solitary waves of the Korteveg - de Vries - Burgers equation
N. A. Kudryashov
New approach is presented to search exact solutions of nonlinear differential equations. This method is used to look for exact solutions of the Korteveg -- de Vries -- Burgers equa…