A new algorithm is presented for solving nonlinear second-order coupled equations of the form y" = f(r, y). This method consists of a predictor, a corrector and a modifier so that it does not require iteration or matrix inversion. The method retains both the advantages of exponentially fitted two-st
Two simple ansätze for obtaining exact solutions of high dispersive nonlinear Schrödinger equations
✍ Scribed by Sergio L. Palacios
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 83 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0960-0779
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✦ Synopsis
We propose two simple ans€ a atze that allow us to obtain different analytical solutions of the high dispersive cubic and cubic-quintic nonlinear Schr€ o odinger equations. Among these solutions we can find solitary wave and periodic wave solutions representing the propagation of different waveforms in nonlinear media.
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