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Nonclassical symmetry analysis for hyperbolic partial differential equation

โœ Scribed by Souichi Murata

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
102 KB
Volume
13
Category
Article
ISSN
1007-5704

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โœฆ Synopsis

We consider the nonclassical symmetry of one-dimensional hyperbolic differential equations of the form

is shown that n is an eigenvalue of the matrix M when / i = 0 [Souichi M. Nonclassical symmetry and Riemann invariants. Int J Nonlinear Mech, [in press]]. In this paper, we prove a sufficient condition of a lemma.

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This paper applies the homotopy perturbation method proposed by Ji-Huan He, to obtain approximate analytic solutions of hyperbolic partial differential equations. The procedure of the method is systematically illustrated. To give an extensive account of the method some examples are provided. The re