Symbolic Computation of Exact Solutions of Nonlinear Partial ...
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Symbolic Computation of Exact Solutions of Nonlinear Partial ...
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f-4721
Computation of Exact of Nonlinear Partial Differential Equations U sing Direct Methods
by
NUSEIR
T-4721 A thesis submitted to the Faculty and the School of Mines in partial fulfillment of the
of
of
Philosophy (Mathematical and Computer
Golden, Colorado Date
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1q 5
I I
,
\
Golden, Colorado J ..Date S sCI q S
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Abstract
In this study, two
solitary-wave and soliton-solutions are
.... '..... "j'F.
sented and applied to a
partial differential
The solution
UU'"u.,,-,u
Painleve expansion
plified version of
Painleve expansion
to find the closed
solutions of several nonlinear
tions. The simplified
Hirota's method, developed in the
explicitly construct one-,
of PDEs can computer,
solutions for infinitely many COIlserva soliton
to
the advantage over the original forms of the PDEs are no longer
