Existence and stability of solitary-wave solutions of equations of Benjamin-Bona-Mahony type.

DOI10.1016/S0022-0396(02)00061-XzbMath1146.35409OpenAlexW2057675424MaRDI QIDQ1867242

Lei Zeng

Publication date: 2 April 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(02)00061-x

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)

Related Items (11)

On the Rosenau equation: Lie symmetries, periodic solutions and solitary wave dynamics ⋮ New hyperbolic function solutions for some nonlinear partial differential equation arising in mathematical physics ⋮ Numerical computation of solitary wave solutions of the Rosenau equation ⋮ Solitary waves for weakly dispersive equations with inhomogeneous nonlinearities ⋮ Existence of solutions for a fractional equation in an unbounded domain ⋮ Existence and stability of traveling waves for a class of nonlocal nonlinear equations ⋮ Time-decay and Strichartz estimates for the BBM equation on modulation spaces: existence of local and global solutions ⋮ A self-adjusting algorithm for solitary wave simulations ⋮ Dynamics of solutions of a fractional NLS system with quadratic interaction ⋮ Existence, orbital stability and instability of solitary waves for coupled BBM equations ⋮ Existence of solitary-wave solutions to nonlocal equations

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