Solitons and conservation laws of coupled Ostrovsky equation for internal waves

DOI10.1016/J.AMC.2015.01.093zbMath1338.35393OpenAlexW2024895219MaRDI QIDQ300117

Anjan Biswas, Polina Razborova, Abdul Hamid Kara

Publication date: 23 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.01.093

zbMATH Keywords

integrabilitysolitonsconservation laws/quantitiescoupled Ostrovsky equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (7)

The investigation of soliton solutions and conservation laws to the coupled generalized Schrödinger–Boussinesq system ⋮ Dark–bright optical solitary waves and modulation instability analysis with (2 + 1)-dimensional cubic-quintic nonlinear Schrödinger equation ⋮ Nonclassical symmetry analysis and heir-equations of forced Burger equation with time variable coefficients ⋮ On integrability and quasi-periodic wave solutions to a \((3+1)\)-dimensional generalized KdV-like model equation ⋮ Solving unsteady Korteweg–de Vries equation and its two alternatives ⋮ Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation ⋮ Conservation laws for optical Bloch equations for the Λ scheme

Cites Work

• The global attractor of the viscous damped forced Ostrovsky equation
• Computation of conservation laws for nonlinear lattices
• Initial-value problem for coupled Boussinesq equations and a hierarchy of Ostrovsky equations
• On strongly interacting internal waves in a rotating ocean and coupled Ostrovsky equations
• Evolution equations for strongly nonlinear internal waves
• A new method of calculating the generalized Q function (Corresp.)
• Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
• A Symmetry Invariance Analysis of the Multipliers & Conservation Laws of the Jaulent–Miodek and Some Families of Systems of KdV Type Equations

This page was built for publication: Solitons and conservation laws of coupled Ostrovsky equation for internal waves