kdv_exact


kdv_exact, a Fortran90 code which evaluates exact solutions of the Korteweg-deVries (KdV) partial differential equation (PDE) that represents the motion of a soliton.

The equation for u(x,t), the height of the wave, has the form

        ut - 6 u ux + uxxx = 0
for which an exact solution is
        u(x,t) = - 1/2 v ( sech ( 1/2 * sqrt ( v ) * ( x - v * t - a ) )^2
where parameter "a" is an arbitrary phase, and "v" represents the wave velocity.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

kdv_exact is available in a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and codes:

kdv_exact_test

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Reference:

Source Code:


Last revised on 30 April 2024.