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Abstract

The equivalence algebra for the non-linear wave equations \( {u_{{xx}}} = {u_{{tt}}} = f(u,{u_t},{u_x}) \) is obtained. Some algorithms are performed in order to extend the principal Lie algebra.

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References

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© 1993 Springer Science+Business Media Dordrecht

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Torrisi, M., Tracinà, R., Valenti, A. (1993). On Equivalence Transformations Applied to a Non-Linear Wave Equation. In: Ibragimov, N.H., Torrisi, M., Valenti, A. (eds) Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2050-0_39

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  • DOI: https://doi.org/10.1007/978-94-011-2050-0_39

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4908-5

  • Online ISBN: 978-94-011-2050-0

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