☆ 4.7 Article

Bilinear auto-Backlund transformations and soliton solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow water waves

APPLIED MATHEMATICS LETTERS (2021)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Mathematics, Applied

Bilinear form and solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves

Yu-Jie Feng et al.

Summary: Investigated a (3+1)-dimensional generalized nonlinear evolution equation for shallow-water waves, derived bilinear form, and constructed semi-rational solutions. Analyzed interactions between lumps and solitons. Identified three types of interaction phenomena in higher-order semi-rational solutions influenced by coefficients in the original equation.

APPLICABLE ANALYSIS (2021)

添加到收藏夹

Article Mathematics, Applied

Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation

Ting-Ting Jia et al.

Summary: The paper investigates a combined CBS-type equation, deriving Lax pairs in both differential and matrix forms, constructing infinite conservation laws and n-fold Darboux transformations. It also discovers parallel solitons and bell-to-anti-bell-shaped solitons through the n-fold Darboux transformation. Each bell-shaped asymptotic soliton evolves into the anti-bell-shaped one.

APPLIED MATHEMATICS LETTERS (2021)

添加到收藏夹

Article Meteorology & Atmospheric Sciences

Assimilation of significant wave height from distributed ocean wave sensors

P. B. Smit et al.

Summary: In-situ ocean wave observations combined with data assimilation techniques can significantly enhance model forecast accuracy, particularly for extreme events. The implementation of a distributed sensor network has shown to have a positive impact on model skill at extremely low cost, with potential for further gains through refinements to assimilation strategies.

OCEAN MODELLING (2021)

添加到收藏夹

Article Physics, Fluids & Plasmas

Modified Stokes drift due to resonant interactions between surface waves and corrugated sea floor with and without a mean current

Akanksha Gupta et al.

Summary: This paper investigates the impact of sea floor corrugations on Stokes drift, showing that Bragg resonance plays a key role in the backward drift of surface particles. By theoretical analysis and numerical simulations, the study reveals how the interaction between reflected waves and incident waves can reverse particle trajectories near the rippled patch.

PHYSICAL REVIEW FLUIDS (2021)

添加到收藏夹

Article Mathematics, Applied

Planetary waves in polar basins: Some exact solutions

Madeleine Cockerill et al.

Summary: The equations of motion for fluid flow in a shallow circular ocean centred at the North Pole are considered, revealing two families of exact closed-form solutions. One set of solutions can be expressed in terms of associated Legendre functions while the other can be written in simple algebraic form.

APPLIED MATHEMATICS LETTERS (2021)

添加到收藏夹

Article Geography, Physical

Wave-forced dynamics in the nearshore river mouths, and swash zones

Maurizio Brocchini

EARTH SURFACE PROCESSES AND LANDFORMS (2020)

添加到收藏夹

Article Mathematics, Applied

Solitary-wave and new exact solutions for an extended (3+1)-dimensional Jimbo-Miwa-like equation

Feng-Hua Qi et al.

APPLIED MATHEMATICS LETTERS (2020)

添加到收藏夹

Article Mathematics, Applied

Water-wave symbolic computation for the Earth, Enceladus and Titan: The higher-order Boussinesq-Burgers system, auto- and non-auto-Backlund transformations

Xin-Yi Gao et al.

APPLIED MATHEMATICS LETTERS (2020)

添加到收藏夹

Article Environmental Sciences

Generation and dispersion of chemical and biological gradients in a large-deep multi-basin lake (Lake Como, north Italy): The joint effect of external drivers and internal wave motions

Diego Copetti et al.

SCIENCE OF THE TOTAL ENVIRONMENT (2020)

添加到收藏夹

Article Mathematics, Applied

On well-posedness of a dispersive system of the Whitham-Boussinesq type

Evgueni Dinvay

APPLIED MATHEMATICS LETTERS (2019)

添加到收藏夹

Article Engineering, Mechanical

New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions

Abdul-Majid Wazwaz et al.

NONLINEAR DYNAMICS (2019)

添加到收藏夹

Article Engineering, Mechanical

Fission and fusion collision of high-order lumps and solitons in a (3+1)-dimensional nonlinear evolution equation

Wei Liu et al.

NONLINEAR DYNAMICS (2019)

添加到收藏夹

Article Mathematics, Applied

Method for solving hyperbolic systems with initial data on non-characteristic manifolds with applications to the shallow water wave equations

Alexei Rybkin

APPLIED MATHEMATICS LETTERS (2019)

添加到收藏夹

Article Mathematics, Applied

Mixed lump-soliton solutions of the (3+1)-dimensional soliton equation

JunCai Pu et al.

APPLIED MATHEMATICS LETTERS (2018)

添加到收藏夹

Article Engineering, Mechanical

Elastic collision of mobile solitons of a (3+1)-dimensional soliton equation

M. T. Darvishi et al.

NONLINEAR DYNAMICS (2016)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method

AM Wazwaz

CHAOS SOLITONS & FRACTALS (2001)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.