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Boussinesq, Klein-Gordon and Liouville Equations

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Partial Differential Equations and Solitary Waves Theory

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Abstract

In the preceeding two chapters we examined the family of the KdV and the KdV-type of equations, where the first order partial derivative u t was involved in all these equations [1]. In this chapter, we will study the nonlinear evolution equations where each contains the second order partial derivative u tt in addition to other partial derivatives. This family of nonlinear equations gained its importance because it appears in many scientific applications and physical phenomena.

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References

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© 2009 Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg

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Wazwaz, AM. (2009). Boussinesq, Klein-Gordon and Liouville Equations. In: Partial Differential Equations and Solitary Waves Theory. Nonlinear Physical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00251-9_16

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  • DOI: https://doi.org/10.1007/978-3-642-00251-9_16

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00250-2

  • Online ISBN: 978-3-642-00251-9

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