DOAJ Open Access 2022

Soliton solutions by means of Hirota bilinear forms

Wen-Xiu Ma

Abstrak

The paper aims to provide a brief overview of soliton solutions obtained through the Hirota direct method. A bilinear formulation of soliton solutions in both (1+1)-dimensions and (2+1)-dimensions is discussed, together with applications to various integrable equations. The Hirota conditions for N-soliton solutions are analyzed and a few open questions regarding higher-dimensional cases and generalized bilinear equations are presented.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (1)

Wen-Xiu Ma

Format Sitasi

APA MLA BibTeX

Ma, W. (2022). Soliton solutions by means of Hirota bilinear forms. https://doi.org/10.1016/j.padiff.2021.100220

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.1016/j.padiff.2021.100220
Akses: Open Access ✓