Asymptotic methods developed recently in the nonlinear wave theory and applicable to the analysis of nonsinusoidal processes are discussed. These methods are based on the assumption of sufficiently ...

A nonlinear Eulerian beam wave interaction (BWI) theory with a series of phase expansion for traveling wave tubes (TWTs) has been put forward, which is based on the result that the phase expansion can ...

Previous studies developed a new model based on the non-linear pulse wave theory (NonPWT), constructed motion and constitutive equations of the blood vessel wall and peripheral tissues, and introduced ...

New soliton solutions to the NLSE with parabolic nonlinearity are being explored, featuring conservation laws and pulse ...

Nonlinear wave propagation can lead to various phenomena, such as shock formation, wave steepening, harmonic generation, wave breaking, soliton formation, or chaotic behavior.

Nonlinear wave mixing facilitates subwavelength imaging Date: April 5, 2021 Source: SPIE--International Society for Optics and Photonics Summary: A team of researchers recently developed an ...

Moreover, probabilistic global well-posedness results for energy-critical defocusing quintic nonlinear wave equations have been achieved by harnessing uniform energy bounds and random initial data ...

Abstract: Deterministic wave forecasting aims to provide a wave-by-wave prediction of the free surface elevation based on measured data. Such information about upcoming waves can inform marine ...

Nonlinear long waves may disintegrate into several small waves after traveling some distance, which can be observed both in tsunami and tidal waves. This disintegration can lead to a significant ...

Extreme nonlinear wave group dynamics in directional wave states Date: September 30, 2022 Source: Kyoto University Summary: Deep-water wave groups are known to be unstable and become rogue. Such ...