A hierarchy of new nonlinear evolution equations and generalized bi-Hamiltonian structures

DOI10.1016/j.amc.2015.06.105zbMath1410.35189OpenAlexW885981978MaRDI QIDQ668168

Jiao Wei, Xiangguo Geng

Publication date: 18 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.105

zbMATH Keywords

conservation lawsnonlinear evolution equationsbi-Hamiltonian structures

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (5)

N -Soliton Solution and Soliton Resonances for the (2+1)-Dimensional Inhomogeneous Gardner Equation ⋮ Two-component generalized Ragnisco-Tu equation and the Riemann-Hilbert problem ⋮ Modified constrained KP hierarchy and bi-Hamiltonian structures ⋮ Rogue waves and W-shaped solitons in the multiple self-induced transparency system ⋮ Darboux transformation and nonautonomous solitons for a modified Kadomtsev-Petviashvili equation with variable coefficients

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