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Analytical Solution of Korteweg-de-Vries-Burgers Equation using
First Integral Method
LIM HUI YUAN
Supervisor: Dr. Azwani Binti Alias
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
The Korteweg-de-Vries-Burgers (KdVB) equation has arises in many different physical
contexts as a model equation merging the effects of dispersion, dissipation and
nonlinearity. It can be widely applied to many physically significant fields such as the
propagation of waves in an elastics tube filled with a viscous fluid. The KdVB equation
has neither nontrivial bell-profile traveling solitary waves, nor periodic waves. Previously,
analytical solution for KdVB equation is more complicated because of the nonlinear term
appear in the equation. However, in this research, an analytical method which called first
integral method is suitable to get the actual solution of equation and investigate the
behavior of KdVB equation by applying the theory of commutative algebra. Propagation
of traveling waves with different effects has been studied in this research. At the end of
this research, a traveling wave solution of the KdVB equation is obtained by using first
integral method.
938 | UMT UNDERGRADUATE RESEARCH DAY 2018