A symbolic algorithm for computing recursion operators of nonlinear partial differential equations
Author:
Affiliation:
1. Department of Applied Mathematics, University of Colorado , UCB 526, Boulder, CO, 80309-0526, USA
2. Department of Mathematical and Computer Sciences, Colorado School of Mines , Golden, CO, 80401-1887, USA
Publisher
Informa UK Limited
Subject
Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications
Link
https://www.tandfonline.com/doi/pdf/10.1080/00207160903111592
Reference61 articles.
1. Solitons, Nonlinear Evolution Equations and Inverse Scattering
2. Solitons and the Inverse Scattering Transform
3. A connection between nonlinear evolution equations and ordinary differential equations of P‐type. I
4. Adams, P. J. , 2003. "Symbolic computation of conserved densities and fluxes for systems of partial differential equations with transcendental nonlinearities". Golden, Colorado: Colorado School of Mines; 2003, M.S. thesis.
5. P.J. Adams and W. Hereman, TransPDEDensityFlux.m: A Mathematica package for the symbolic computation of conserved densities and fluxes for systems of partial differential equations with transcendental nonlinearities, 2002; software available at http://inside.mines.edu/~whereman/software/TransPDEDensityFlux.
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