Solving Quasi-linear PDEs: The Gordon Sine Equation

Quasi-linear equation are those that have coefficients that depend on the unknown function. This is the case of the Gordon's sine equation: Uxx-Utt=sin(U).
This equation arises in condensed material phenomenon. Some of the solutions of this equation are solitons, that are waves that propagate without dissipation and after collide with others, they don't destroy nor deform.
The next applet shows the solution of this equation.

Theory pages:
Main page
FEM (i)
FEM (ii)
FDM (i)
Example pages:
1-d Heat Equation
2-d steady state Heat Equation
2-d Heat Equation
1-d non diffusive transport equation
1-d diffusive transport equation
2-d Non diffusive transport equation
Mesh generation with OOCSMP
Moving grids
Application pages:
Heating of two beams
Heating of two moving beams
Solving the equation Ut+Uxx+Uxy+Uyx=0
Solving the equation Ut+Uxx+Uxy+Uyx=0 using MGEN
Heat 1d using several outputs
Solving the Heat equation with a CA
Comparing a CA with the FEM
Gordon's sine equation

Other courses
Other pages

Last modified 2/1/2000 by Juan de Lara (, need help for using this courses?.

The OOCSMP code - The SODA code