Symmetry Operators of the Nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov Equation with a Quadratic Operator

被引：1
|
作者：
Levchenko, E. A. [1 ]
Trifonov, A. Yu. [1 ]
Shapovalov, A. V. [2 ]
机构：
[1] Natl Res Tomsk Polytech Univ, Physicotech Inst, Tomsk, Russia
[2] Natl Res Tomsk State Univ, Tomsk, Russia
来源：
RUSSIAN PHYSICS JOURNAL | 2014年 / 56卷 / 12期
关键词：
nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation; interwining operator; nonlinear symmetry operator; NONLINEARITY;
D O I：
10.1007/s11182-014-0194-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A class of nonlinear symmetry operators has been constructed for the many-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation quadratic in independent variables and derivatives. The construction of each symmetry operator includes an interwining operator for the auxiliary linear equations and additional nonlinear algebraic conditions. Symmetry operators for the one-dimensional equation with a constant influence function have been constructed in explicit form and used to obtain a countable set of exact solutions.
引用
收藏
页码：1415 / 1426
页数：12
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