Nonlinear Euler-Poisson-Darboux Equations: Initial Value Problems and Exact Solutions - Couverture souple

Ate?, Bar??; K. Pashaev, Oktay

 
9783844320367: Nonlinear Euler-Poisson-Darboux Equations: Initial Value Problems and Exact Solutions

Synopsis

This book is devoted to study multidimensional linear and nonlinear partial differential equations. Among several methods to deal with higher dimensional linear partial differential equations, the elegant method of Spherical Means has spacial importance since this method reduces the higher dimensional equations to the one dimensional radial equations of Euler-Poisson-Darboux type which are well studied. Although this method is applicable only to the linear differential equations, by some special transformations, like the Cole-Hopf transformation and the Backlaund transformation, exact solutions of multidimensional nonlinear partial differential equations of the Spherical Liouville, Sine- Gordon and Burgers type are constructed.

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Présentation de l'éditeur

This book is devoted to study multidimensional linear and nonlinear partial differential equations. Among several methods to deal with higher dimensional linear partial differential equations, the elegant method of Spherical Means has spacial importance since this method reduces the higher dimensional equations to the one dimensional radial equations of Euler-Poisson-Darboux type which are well studied. Although this method is applicable only to the linear differential equations, by some special transformations, like the Cole-Hopf transformation and the Backlaund transformation, exact solutions of multidimensional nonlinear partial differential equations of the Spherical Liouville, Sine- Gordon and Burgers type are constructed.

Biographie de l'auteur

Bar?? Ate?; Msc in Mathematics and Research assistant at Izmir Institute of Technology(IYTE)Turkey. Field of Study:Quantum Field Theory. Oktay K. Pashaev Diploma in Physics-Moskow state university, Phd-JINR, Dubna: Proffessor of mathematics at IYTE. Field of study: Integrable systems, Solitons and Quantum physics.

Bar?? Ate?; Msc in Mathematics and Research assistant at Izmir Institute of Technology(IYTE)Turkey. Field of Study:Quantum Field Theory. Oktay K. Pashaev Diploma in Physics-Moskow state university, Phd-JINR, Dubna: Proffessor of mathematics at IYTE. Field of study: Integrable systems, Solitons and Quantum physics.

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