Title :
Nonlinear Klein-Fock-Gordon equation and Abelian functions
Author :
Aero, Eron L. ; Bulygin, Anatolii N. ; Pavlov, Yurii V.
Author_Institution :
Inst. of Problems in Mech. Eng., St. Petersburg, Russia
Abstract :
Functionally invariant solutions of nonlinear Klein-Fock-Gordon equation are obtained. For some cases they are given by inversion of hyperelliptic, in particular, ultraelliptic integrals. For the last the algorithm of the inversion is described and analytical formulas are given. Results are illustrated by computer calculations.
Keywords :
elliptic equations; functional analysis; integral equations; nonlinear differential equations; wave equations; Abelian functions; functionally invariant solutions; hyperelliptic integrals; inversion algorithm; nonlinear Klein-Fock-Gordon equation; ultraelliptic integrals; Diffraction; Jacobian matrices;
Conference_Titel :
Days on Diffraction (DD), 2013
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-1037-3
DOI :
10.1109/DD.2013.6712794
