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Keywords: Mathematical physics
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Journal Articles
Solitons and other solutions of the long-short wave equation
Available to Purchase
International Journal of Numerical Methods for Heat & Fluid Flow (2015) 25 (1): 129–145.
Published: 05 January 2015
... Limited 2015 Exp-function method Mathematical physics Solitons Integrability Lie symmetry The theory of nonlinear waves is one of the most important areas of research Ocean sciences. There are various kinds of waves that appears in this context. A few of them are the tsunami waves...
Journal Articles
Some new computational methods for the Allen‐Cahn equation with non‐periodic boundary conditions arising in computational fluid dynamics
Available to Purchase
International Journal of Numerical Methods for Heat & Fluid Flow (2013) 23 (4): 588–597.
Published: 03 May 2013
... © Emerald Group Publishing Limited 2013 Allen‐Cahn equation Non‐periodic boundary conditions Different time‐stepping methods Chebyshev spectral method Fluid dynamics Mathematical physics Consider the initial‐boundary value problem of the form: Equation 1 where u...
Journal Articles
Exact solutions of extended shallow water wave equations by exp‐function method
Available to Purchase
International Journal of Numerical Methods for Heat & Fluid Flow (2013) 23 (2): 305–319.
Published: 22 March 2013
... role in mathematical physics and engineering sciences. Design/methodology/approach In this paper, the authors apply the exp‐function method to construct exact solutions of nonlinear wave equations. Findings In total, four forms of the extended shallow water wave equation have been studied, from...
