Some Exact Solutions of Reaction-Diffusion Systems andDerivative Reaction-Diffusion Systems and the Application
碩士 === 國立臺灣大學 === 數學研究所 === 93 === In this thesis, we will review some results on NLS and DNLS and the versions with "quantum potential". At first, we will review some results about two by two AKNS-ZS system with a linear and quadratic spectral parameter. Here exact solutions of NLS and DN...
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| Format: | Others |
| Language: | en_US |
| Published: |
2005
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| Online Access: | http://ndltd.ncl.edu.tw/handle/40566726682109337270 |
| Summary: | 碩士 === 國立臺灣大學 === 數學研究所 === 93 === In this thesis, we will review some results on NLS and DNLS and the versions with "quantum potential". At first, we will review some results about two by two AKNS-ZS system with a linear and quadratic spectral parameter. Here exact solutions of NLS and DNLS could be obtained by degenerate inverse scattering transform, also by Hirota bilinearization method.
We also review the reaction-diffusion systems related to NLS with "quantum potential" and derivative reaction-diffusion systems related to DNLS with "quantum potential". Here we consider the mixed type case called modified NLS with "quantum potential". Some exact
solutions (e.g. one-dissipatons, two-dissipatons) of the related mixed type Reaction-Diffusion
system(MDRD) are constructed by Hirot a bilinearization method. Some plots of the one-dissipatons are given in section 3.
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