Periodic solutions of the non-integrable convective fluid equation
From MaRDI portal
Publication:2865491
DOI10.1063/1.4727870zbMath1287.35071OpenAlexW1994421495MaRDI QIDQ2865491
Publication date: 29 November 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/9139ee1be9a7777ff996cda6e7930e49dea0bd2d
periodic solutionpartial differential equationdisplacementsconvectivefluid equationbi-linear transformation
PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Forced convection (76R05)
Related Items
\(H^1\) solutions for a Kuramoto-Velarde type equation, Solitary-Wave and Periodic Solutions of the Kuramoto-Velarde Dispersive Equation, Well-posedness result for the Kuramoto-Velarde equation, Unnamed Item
Cites Work
- Unnamed Item
- Bilinear transformation method
- Dissipative solitons
- Approximate Equations for Long Nonlinear Waves on a Viscous Fluid
- A Direct Method of Calculating Periodic Wave Solutions to Nonlinear Evolution Equations. I. Exact Two-Periodic Wave Solution
- On the Camassa-Holm equation and a direct method of solution I. Bilinear form and solitary waves
- Exact periodic solutions of the sixth-order generalized Boussinesq equation
- Exact solitary waves in a convecting fluid
- Dissipative Korteweg–de Vries description of Marangoni–Bénard oscillatory convection
- Periodic solutions of the intermediate long-wave equation: a nonlinear superposition principle
- Painleve analysis and Backlund transformation in the Kuramoto-Sivashinsky equation
- Exact travelling wave solutions of nonlinear evolution equation of surface waves in a convecting fluid
- Solitary and Periodic Solutions of Nonlinear Nonintegrable Equations
- On exact solutions of the regularized long-wave equation: A direct approach to partially integrable equations. II. Periodic solutions
- Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices