Exact Solutions of DNLS and Derivative Reaction-Diffuson Systems

In this paper, we obtain some exact solutions of Derivative Reaction-Diffusion (DRD) system and, as by-products, we also show some exact solutions of DNLS via Hirota bilinearization method. At first, we review some results about two by two AKNS-ZS system, then introduce Hirota bilinearization method...

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Bibliographic Details
Published inJournal of nonlinear mathematical physics Vol. 9; no. Supplement 1; pp. 87 - 97
Main Authors Lee, Jyh-Hao, Lee, Yen-Ching, Lin, Chien-Chih
Format Journal Article
LanguageEnglish
Published Singapore Taylor & Francis Group 2002
Springer Nature B.V
Subjects
Exact solutions
Mathematical analysis
Solitary waves
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Summary:In this paper, we obtain some exact solutions of Derivative Reaction-Diffusion (DRD) system and, as by-products, we also show some exact solutions of DNLS via Hirota bilinearization method. At first, we review some results about two by two AKNS-ZS system, then introduce Hirota bilinearization method to find out exact N-soliton solutions of DNLS and exact N-dissipaton solutions of the Derivative Reaction-Diffusion system respectively.
ISSN:1402-9251
1776-0852
1776-0852
DOI:10.2991/jnmp.2002.9.s1.8