Abstract
We study the simple-looking scalar integrable equation fxxt 3(fx ft 1) = 0, which is related (in different ways) to the Novikov, Hirota-Satsuma and Sawada-Kotera equations. For this equation we present a Lax pair, a Bäcklund transformation, soliton and merging soliton solutions (some exhibiting instabilities), two infinite hierarchies of conservation laws, an infinite hierarchy of continuous symmetries, a Painlevé series, a scaling reduction to a third order ODE and its Painlevé series, and the Hirota form (giving further multisoliton solutions).
Original language | English |
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Pages (from-to) | 555-568 |
Number of pages | 14 |
Journal | Journal of Nonlinear Mathematical Physics |
Volume | 26 |
Issue number | 4 |
DOIs | |
State | Published - 2 Oct 2019 |
Keywords
- Bäcklund transformation
- Hirota-Satsuma
- Integrable equation
- Novikov
- Sawada-Kotera
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics