Open AccessCONSERVATION LAWS OF THE VARIABLE COEFFICIENT KdV AND MKdV EQUATIONS
Author(s) -
Lou Sen-Yue,
Hangyu Ruan
Publication year - 1992
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.41.182
Subject(s) - korteweg–de vries equation , conservation law , variable coefficient , variable (mathematics) , function (biology) , mathematical analysis , physics , mathematical physics , mathematics , nonlinear system , quantum mechanics , evolutionary biology , biology
In this paper, by using the Miura's method, we study the infinite conservation laws of the variable coefficient KdV and MKdV equations with three arbitrary functions of t. The result points out that the conserved densities which have the structures completely similar to the con-stat coefficient KdV and MKdV equations depend only on one arbitrary function. The other two arbitrary functions are contained only in the corresponding fluxes.