GENERALIZED FUNCTIONAL INVARIANT SOLUTIONS OF THE WAVE EQUATION IN DIMENSION 2

M. V. Neshchadim

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GENERALIZED FUNCTIONAL INVARIANT SOLUTIONS OF THE WAVE EQUATION IN DIMENSION 2

机译：二维波方程的广义函数不变解

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摘要

We describe generalized functional invariant solutions to the wave equation in dimension 2 for phase functions of travelling wave type. Bibliography: 11 titles.

机译：我们针对行波类型的相位函数，描述了维数为2的波动方程的广义函数不变解。参考书目：11种。

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《Journal of Mathematical Sciences》 |2019年第4期|569-575|共7页
作者
M. V. Neshchadim;
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Sobolev Institute of Mathematics SB RAS 4, Akad. Koptyuga pr., Novosibirsk 630090, Russia,Novosibirsk State University 1, Pirogova St., Novosibirsk 630090, Russia;

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1. Lie symmetry analysis and generalized invariant solutions of (2+1)-dimensional dispersive long wave (DLW) equations [J] . Kumar Sachin, Kumar Amit, Kharbanda Harsha Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2020,第6期

机译：（2 + 1） - 二维色散长波（DLW）方程的Lie对称分析和广义不变解
2. SPHERICAL GENERALIZED FUNCTIONAL-INVARIANT SOLUTIONS TO THE WAVE EQUATION [J] . M. V. Neshchadim Journal of Mathematical Sciences . 2015,第6期

机译：波动方程的球面广义泛函解
3. Classes of generalized functional invariant solutions of wave equation [J] . Neshchadim M. V. Sibirskie elektronnye matematicheskie izvestiia: Siberian Electronic Mathematical Reports . 2013,第1期

机译：波动方程的广义泛函不变解的类
4. Numerical solution of two-dimensional nonlinear Hammerstein fuzzy functional integral equations based on fuzzy Haar wavelets [C] . Svetoslav Enkov, Atanaska Georgieva International Conference Applications of Mathematics in Engineering and Economics . 2017

机译：基于模糊HAAR小波的二维非线性Hammerstein模糊功能整体方程的数值解
5. Multiscale analytical solutions and homogenization of n-dimensional generalized elliptic equations. [D] . Sviercoski, Rosangela de Fatima. 2005

机译：多尺度解析解和n维广义椭圆方程的均匀化。
6. Lower bounds for the life-span of solutions of nonlinear wave equations in three dimensions [O] . Fritz John 1982

机译：三维非线性波动方程解寿命的下界
7. Generalized scale-invariant solutions to the two-dimensional stationary Navier-Stokes equations [O] . Guillod, Julien, Wittwer, Peter 2014

机译：二维静止的广义尺度不变解 Navier-stokes方程

GENERALIZED FUNCTIONAL INVARIANT SOLUTIONS OF THE WAVE EQUATION IN DIMENSION 2

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