Numerical computation of high dimensional solitons via darboux transformation

@inproceedings{Zhou1997NumericalCO,
  title={Numerical computation of high dimensional solitons via darboux transformation},
  author={Zixiang Zhou},
  year={1997}
}
Abstract Darboux transformation gives explicit soliton solutions of nonlinear partial differential equations. Using numerical computation in each step of constructing Darboux transformation, one can get the graphs of the solitons practically. In n dimensions ( n ≥ 3), this method greatly increases the speed and deduces the memory usage of computation comparing to the software for algebraic computation. A technical problem concerning floating overflow is discussed. 

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