Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation

نویسندگان

چکیده

In this paper, we consider nonlinear multidimensional Cahn–Hilliard and Kuramoto–Sivashinsky equations that have many important applications in physics chemistry, a certain natural generalization of these two to which refer as the generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation. For an arbitrary number spatial independent variables, present complete list cases when latter equation admits nontrivial local conservation laws any order, for each those cases, give explicit form all orders modulo trivial ones admitted by under study. particular, show original no laws, find

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ژورنال

عنوان ژورنال: Studies in Applied Mathematics

سال: 2023

ISSN: ['0022-2526', '1467-9590']

DOI: https://doi.org/10.1111/sapm.12576