On periodic and solitary wavelike solutions of the intermediate long-wave equation
From MaRDI portal
Publication:4205175
DOI10.1017/S0022112090001720zbMath0686.76013MaRDI QIDQ4205175
Publication date: 1990
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
intermediate long-wave equationlong internal wavesnonlinear periodic solutionsBenjamin-Otto equationslinear superposition of solitonsweakly nonlinear integro-differential equation
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items
On periodic solutions of interfacial waves of finite amplitude ⋮ Construction of Lighthill's unitary functions: The imbricate series of unity ⋮ On the number of solitons for the intermediate long wave equation ⋮ On the non-chiral intermediate long wave equation: II. Periodic case ⋮ A novel dynamic model and the oblique interaction for ocean internal solitary waves ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ On genus-two solutions for the ILW equation ⋮ On exact solutions of the regularized long-wave equation: A direct approach to partially integrable equations. II. Periodic solutions ⋮ Non-standard soliton wavetrains ⋮ A new ZK-ILW equation for algebraic gravity solitary waves in finite depth stratified atmosphere and the research of squall lines formation mechanism
Cites Work
- Algebraic Solitary Waves in Stratified Fluids
- On the limit from the intermediate long wave equation to the Benjamin–Ono equation
- Soliton models of long internal waves
- An investigation of internal solitary waves in a two-fluid system
- On the periodic intermediate long wave equation
- Multi-soliton solutions in a finite depth fluid
- Periodic solutions of the DABO equation as a sum of repeated solitons
- Cnoidal Waves as Exact Sums of Repeated Solitary Waves: New Series for Elliptic Functions
- Internal waves of finite amplitude and permanent form
- Internal waves of permanent form in fluids of great depth
- Solitary internal waves in deep water
- Long Non‐Linear Waves in Fluid Flows
- Long nonlinear waves in stratified shear flows
This page was built for publication: On periodic and solitary wavelike solutions of the intermediate long-wave equation
