Soliton solutions, B\"acklund transformation and Lax pair for coupled Burgers system via Bell polynomials
Exactly Solvable and Integrable Systems
2015-06-11 v1 Pattern Formation and Solitons
Abstract
In this work, we apply the binary Bell polynomial approach to coupled Burgers system. In other words, we investigate possible integrability of referred system. Bilinear form and soliton solutions are obtained, some figures related to these solutions are given. We also get B\"acklund transformations in both binary Bell polynomial form and bilinear form. Based on the B\"acklund transformation, Lax pair is obtained. Namely, this is a study in which integrabilitiy of coupled burgers system is investigated.
Keywords
Cite
@article{arxiv.1409.0371,
title = {Soliton solutions, B\"acklund transformation and Lax pair for coupled Burgers system via Bell polynomials},
author = {Ömer Ünsal and Filiz Taşcan},
journal= {arXiv preprint arXiv:1409.0371},
year = {2015}
}
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8 pages