Integrability and transformations in the bilinear method: An introduction

This is a partial review of the bilinear method, focusing on the integrability based on the 3-soliton-solution condition and the transformations between $τ$ functions. \textit{Dedicated to Jarmo Hietarinta's 80th birthday}.

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Publication Details

Journal
Open Communications in Nonlinear Mathematical Physics
Published
2026-07-23
DOI
https://doi.org/10.46298/ocnmp.18521
Primary Topic
Numerical methods for differential equations
Type
article
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article

Integrability and transformations in the bilinear method: An introduction

Da‐jun Zhang
Open Communications in Nonlinear Mathematical Physics
Numerical methods for differential equations
article

Integrability and transformations in the bilinear method: An introduction

Da‐jun Zhang
article en

Abstract

This is a partial review of the bilinear method, focusing on the integrability based on the 3-soliton-solution condition and the transformations between $τ$ functions. \textit{Dedicated to Jarmo Hietarinta's 80th birthday}.

Open Communications in Nonlinear Mathematical PhysicsVol. Special Issue in honour of...
Shanghai University (CN)
Openalex Percentile: Top 7%
Numerical methods for differential equations
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Integrability and transformations in the bilinear method: An introduction — Da‐jun Zhang · Open Communications in Nonlinear Mathematical Physics (2026) | TGRS Research Map | TGRS