Equations with an infinite number of explicit conservation laws

被引：0
|
作者：
Fairlie, DB
机构：
[1] Department of Mathematical Sciences, University of Durham
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1997年 / 127卷
关键词：
D O I：
10.1017/S0308210500023489
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A large class of first-order partial nonlinear differential equations in two independent variables which possess an infinite set of polynomial conservation laws derived from an explicit generating function is constructed. The conserved charge densities are all homogeneous polynomials in the unknown functions which satisfy the differential equations in question. The simplest member of the class of equations is related to the Born-Infeld Equation in two dimensions. It is observed that some members of this class possess identical charge densities. This enables the construction of a set of multivariable equations with an infinite number of conservation laws.
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页码：11 / 19
页数：9
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