• Corpus ID: 237213440

Complete Classification of Local Conservation Laws for Generalized Kuramoto-Sivashinsky Equation

  title={Complete Classification of Local Conservation Laws for Generalized Kuramoto-Sivashinsky Equation},
  author={Pavel Holba},
  • P. Holba
  • Published 19 August 2021
  • Mathematics
For an arbitrary number of spatial independent variables we present a complete list of cases when the generalized Kuramoto–Sivashinsky equation admits nontrivial local conservation laws of any order, and for each of those cases we give an explicit form of all the local conservation laws of all orders modulo trivial ones admitted by the equation under study. Introduction In the present paper we study the generalized Kuramoto–Sivashinsky equation, a PDE in n + 1 independent variables t, x1… 


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