Solitary wave simulations of Complex Modified Korteweg-de Vries (CMKdV) Equation using Quintic Trigonometric B-Spline

The Modified form of the Complex Korteweg-de Vries (CMKdV) Equation is solved numerically using collocation method based on quintic trigonometric B-Splines. A Crank Nicolson rule is used to discretize in time. The well-known examples, propagation of bell-shaped initial pulse and collision of multi solitary waves are simulated using Matlab programme language. Computational results are examined by calculation of the accuracy of the method in terms of maximum error norm and the three conservation laws I1, I2 and I3. Because the absolute changes of the lowest three laws are also good indicators of valid results even when the analytical solutions do not exist. A comparison with some earlier works is given

Anahtar Kelimeler:

Complex Modified Korteweg-de Vries Equation, trigonometric B-Splines, finite elements method, solitary waves, conservation laws

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