Boussinesq, Klein-Gordon and Liouville Equations

  • Abdul-Majid Wazwaz
Part of the Nonlinear Physical Science book series (NPS)


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.


Soliton Solution Travel Wave Solution Liouville Equation Boussinesq Equation Tanh Method 
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Copyright information

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

Authors and Affiliations

  • Abdul-Majid Wazwaz
    • 1
  1. 1.Department of MathematicsSaint Xavier UniversityChicagoUSA

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