9 citations · 11 across the 7 of their papers we have counts for
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Function expansion methods for solving autonomous nonlinear partial differential equations
Mahouton Norbert Hounkonnou, Pascal Alain Dkengne Sielenou
In this paper, we propose some algorithms for analytical solution construction to nonlinear polynomial partial differential equations with constant function coefficients. These sch…
Extremum conditions for functionals involving higher derivatives of several variable vector valued functions
Mahouton Norbert Hounkonnou, Pascal Dkengne Sielenou
This paper addresses both necessary and relevant sufficient extremum conditions for a variational problem defined by a smooth Lagrangian, involving higher derivatives of several va…
Factorization of linear and nonlinear differential operators: necessary and sufficient conditions
Mahouton Norbert Hounkonnou, Pascal Dkengne Sielenou
An algebraic approach for factorizing nonlinear partial differential equations (PDEs) and systems of PDEs is provided. In the particular case of second order linear and nonlinear P…