Conservation laws and Backlund transformations associated with the Born-Infeld equation

被引：4
|
作者：
Men'shikh, OF [1 ]
机构：
[1] SP Korolev Samara State Aerosp Univ, Samara, Russia
来源：
MATHEMATICAL NOTES | 2005年 / 77卷 / 3-4期
关键词：
quasilinear equation; Born-Infeld equation; A-hyperbolic equation; A-elliptic equation; conservation law; Backlund transformation; Chaplygin gas;
D O I：
10.1007/s11006-005-0051-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For the Born-Infeld equation in the hyperbolic domain of its solutions, we obtain first-order conservation laws depending on two arbitrary functions. It is shown that each conservation law is related to some Backlund transformation that transforms the Born-Infeld equation into some related equation.
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页码：510 / 522
页数：13
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