multisoliton
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Sine-Gordon equation — The sine Gordon equation is a nonlinear hyperbolic partial differential equation in 1+1 dimensions involving the d Alembert operator and the sine of the unknown function. It was originally considered in the nineteenth century in the course of… … Wikipedia
Degasperis-Procesi equation — In mathematical physics, the Degasperis Procesi equation: displaystyle u t u {xxt} + 2kappa u x + 4u u x = 3 u x u {xx} + u u {xxx}is one of only two exactly solvable equations in the following family of third order, non linear, dispersive… … Wikipedia
Peakon — In the theory of integrable systems, a peakon ( peaked soliton ) is a soliton with discontinuous first derivative; the wave profile is shaped like the graph of the function e^{ |x. Some examples of non linear partial differential equations with… … Wikipedia
Degasperis–Procesi equation — In mathematical physics, the Degasperis–Procesi equation is one of only two exactly solvable equations in the following family of third order, non linear, dispersive PDEs: where κ and b are real parameters (b=3 for the Degasperis–Procesi… … Wikipedia
