Nonlinear Klein-Fock-Gordon equation and Abelian functions

Proceedings of the International Conference Days on Diffraction 2013 Pub Date : 2013-05-27 DOI:10.1109/DD.2013.6712794

E. Aero, A. N. Bulygin, Y. Pavlov

引用次数: 3

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.

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非线性Klein-Fock-Gordon方程与Abelian函数

得到了非线性Klein-Fock-Gordon方程的函数不变解。在某些情况下，它们是由超椭圆积分，特别是超椭圆积分的反演得到的。最后给出了反演的算法和解析公式。结果用计算机计算加以说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

$Proceedings of the International Conference Days on Diffraction 2013$