Dynamics of lump-periodic, breather and two-wave solutions with the long wave in shallow water under gravity and 2D nonlinear lattice

DOI10.1016/j.cnsns.2021.105846zbMath1466.35302OpenAlexW3147712748MaRDI QIDQ2025587

Tukur Abdulkadir Sulaiman, Abdullahi Yusuf

Publication date: 14 May 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105846

zbMATH Keywords

fifth-order KdVHirota bilinearcollision phenomena

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Soliton solutions (35C08)

Related Items (1)

Painlevé analysis, Bäcklund transformation, Lax pair, periodic- and travelling-wave solutions for a generalized \((2+1)\)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics

Cites Work

• Unnamed Item
• Unnamed Item
• Extreme waves that appear from nowhere: on the nature of rogue waves
• Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
• Lump-type solutions and interaction solutions for the \((2+1)\)-dimensional generalized fifth-order KdV equation
• Inverse scattering solutions and dynamics for a nonlocal nonlinear Gross-Pitaevskii equation with PT-symmetric external potentials
• Mixed lump-soliton solutions of the \((3+1)\)-dimensional soliton equation
• A generalized nonlocal Gross-Pitaevskii (NGP) equation with an arbitrary time-dependent linear potential
• Nonstandard bilinearization and interaction phenomenon for \textbf{PT}-symmetric coupled nonlocal nonlinear Schrödinger equations
• Observation of rogue wave triplets in water waves
• On the phase-dependent manifestation of optical rogue waves
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Nonlinear Dynamics of Deep-Water Gravity Waves
• Symbolic Computation of Lump Solutions to a Combined Equation Involving Three Types of Nonlinear Terms
• New lump, lump-kink, breather waves and other interaction solutions to the (3+1)-dimensional soliton equation
• Superregular solitonic solutions: a novel scenario for the nonlinear stage of modulation instability

This page was built for publication: Dynamics of lump-periodic, breather and two-wave solutions with the long wave in shallow water under gravity and 2D nonlinear lattice