Far East Journal of Dynamical Systems
Volume 13, Issue 1, Pages 61 - 75
(May 2010)
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SOLUTIONS OF A CLASS OF VARIABLE-COEFFICIENT KORTEWEG-DE VRIES EQUATIONS
Zeid I. A. Al-Muhiameed
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Abstract:
By using the variable-coefficient extended generalized hyperbolic function method, we present explicit solutions of a class of variable-coefficient Korteweg-de Vries (vcKdV) equations. The main idea of this method is to express solutions of these equations as polynomials in the solution of the Riccati equation that the generalized hyperbolic functions (GHFs) and generalized triangular functions (GTFs) satisfy. |
| Keywords and phrases: extended generalized hyperbolic function method, variable-coefficient KdV equations, generalized hyperbolic functions, generalized triangular functions. |
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