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Linearization of novel nonlinear diffusion equations with the Hilbert kernel and their exact solutions

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Publication:3977827
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DOI10.1063/1.529134zbMath0735.35106OpenAlexW1992162718MaRDI QIDQ3977827

No author found.

Publication date: 25 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/02267550b57a4f461aea5630d0da0809a97a2f8e


zbMATH Keywords

Hilbert transformblowupnonlinear nonlocal terms


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05)


Related Items

Analytic structure of two 1D-transport equations with nonlocal fluxes ⋮ Pulse formation in a dissipative nonlinear system ⋮ Dynamics of solitons in a damped sine-Hilbert equation



Cites Work

  • Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
  • Explicit solutions of the viscous model vorticity equation
  • Kinks of the sine-Hilbert equation and their dynamical motions
  • Exact multi-soliton solution of the Benjamin-Ono equation
  • A simple one‐dimensional model for the three‐dimensional vorticity equation
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