An explicit separate solution for the Tzitzeica equation.
An explicit solution of coupled viscous Burgers' equation by the decomposition method.
An explicit solution to a system of implicit differential equations
An inequality on solutions of heat equation.
An integral equation technique for solving mixed boundary value problems
An integral formula for the derivatives of solutions of certain elliptic systems
Analysis of boundary bubbling solutions for an anisotropic Emden–Fowler equation
Analysis of second order differential operators on Heisenberg groups. I.
Analytical and numerical methods for the CMKdV-II equation.
Analytical solution for the time-fractional telegraph equation.
Analytical solution of a general boundary value problem for a BKW-equation.
Analytical solution of the hyperbolic heat conduction equation for moving semi-infinite medium under the effect of time-dependent laser heat source.
Analytical treatment of generalized Burgers-Huxley equation by homotopy analysis method.
Application of a center manifold theory to a reaction-diffusion system of collective motion of camphor disks and boats
Unidirectional motion along an annular water channel can be observed in an experiment even with only one camphor disk or boat. Moreover, the collective motion of camphor disks or boats in the water channel exhibits a homogeneous and an inhomogeneous state, depending on the number of disks or boats, which looks like a kind of bifurcation phenomena. In a theoretical research, the unidirectional motion is represented by a traveling wave solution in a model. Hence it suffices to investigate a linearized...
Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations.
Application of He's homotopy perturbation method for Cauchy problem of ill-posed nonlinear diffusion equation.
Applications of an extended -expansion method to find exact solutions of nonlinear PDEs in mathematical physics.
Applications of the new compound Riccati equations rational expansion method and Fan's subequation method for the Davey-Stewartson equations.
Applications of the Poincaré inequality to extended Kantorovich method.
Approche visqueuse de solutions discontinues de systèmes hyperboliques semilinéaires
On s’intéresse à des systèmes symétriques hyperboliques multidimensionnels en présence d’une semilinéarité. Il est bien connu que ces systèmes admettent des solutions discontinues, régulières de part et d’autre d’une hypersurface lisse caractéristique de multiplicité constante. Une telle solution étant donnée, on montre que est limite quand de solutions du système perturbé par une viscosité de taille . La preuve utilise un problème mixte parabolique et des développements de couches limites....