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A Method for Computing Symmetries and Conservation Laws of Integro-Differential Equations

  • V. N. Chetverikov
  • A. G. Kudryavtsev

Abstract

A method for computing symmetries and conservation laws of integro-differential equations is proposed. It resides in reducing an integro-differential equation to a system of boundary differential equations and in computing symmetries and conservation laws of this system. A geometry of boundary differential equations is constructed like the differential case. Results of the computation for the Smoluchowski’s coagulation equation are given.

Keywords

Invariant Solution Collisionless Plasma Cartan Form Nonlocal Symmetry Nonlinear Boltzmann Equation 
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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • V. N. Chetverikov
    • 1
  • A. G. Kudryavtsev
    • 2
  1. 1.Department of Applied MathematicsMoscow State Technical UniversityMoscowRussia
  2. 2.Department of Theoretical ProblemsRussian Academy of SciencesMoscowRussia

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