Constructing soliton and kink solutions of PDE models in transport and biology.
Construction de solutions pour les équations de Korteweg-de Vries généralisées
Construction solutions of PDE in parametric form.
Die Lie'sche Integrationsmethode der partiellen Differentialgleichungen erster Ordnung
Eigenfunctions and fundamental solutions of the fractional two-parameter Laplacian.
Eigenstructure of the equilateral triangle. II: The Neumann problem.
Eigenstructure of the equilateral triangle. III: The Robin problem.
Équations différentielles provenant de la génétique de population
Equivalence and new exact solutions to the Black Scholes and diffusion equations.
Exact solutions for nonclassical Stefan problems.
Example of solving of the boundary value problems for one partial differential equations with two unknown functions
Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. I.
Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. II.
Explicit solutions for a system of first-order partial differential equations. II.
Explicit solutions for a system of first-order partial differential equations.
Explicit solutions of Fisher's equation with three zeros.
First-order systems of linear partial differential equations: normal forms, canonical systems, transform methods
In this paper we consider first-order systems with constant coefficients for two real-valued functions of two real variables. This is both a problem in itself, as well as an alternative view of the classical linear partial differential equations of second order with constant coefficients. The classification of the systems is done using elementary methods of linear algebra. Each type presents its special canonical form in the associated characteristic coordinate system. Then you can formulate initial...
Global self-similar solutions of a class of nonlinear Schrödinger equations.
Group method analysis of two-dimensional plate in heat flux.
Heat kernels for class 2 nilpotent groups