Analytical research of (\(3+1\))-dimensional Rossby waves with dissipation effect in cylindrical coordinate based on Lie symmetry approach
From MaRDI portal
Publication:1716396
DOI10.1186/s13662-019-1952-4zbMath1458.35353OpenAlexW2940679987MaRDI QIDQ1716396
Mengshuang Tao, Yanwei Ren, Huan He Dong, Hong Wei Yang
Publication date: 4 February 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-1952-4
PDEs in connection with fluid mechanics (35Q35) Traveling wave solutions (35C07) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (17)
Bifurcations and exact traveling wave solutions of the Zakharov-Rubenchik equation ⋮ Semi-analytical and Numerical Study on Equatorial Rossby Solitary Waves Under Non-traditional Approximation ⋮ The analytical interface coupling of arbitrary-order fractional nonlinear hyperbolic scalar conservation laws ⋮ On exact solutions of the Charney Obukhov equation for the ocean ⋮ Fractional theoretical model for gravity waves and squall line in complex atmospheric motion ⋮ A (2+1)-dimensional nonlinear model for Rossby waves in stratified fluids and its solitary solution ⋮ Exact solutions to Euler equation and Navier-Stokes equation ⋮ Explicit solutions to a coupled integrable lattice equation ⋮ Dynamic analysis of Beddington-DeAngelis predator-prey system with nonlinear impulse feedback control ⋮ Dynamic analysis of wild and sterile mosquito release model with Poincaré map ⋮ N-soliton solutions of the coupled Kundu equations based on the Riemann-Hilbert method ⋮ Dynamical Analysis and Exact Solutions of a New (2+1)-Dimensional Generalized Boussinesq Model Equation for Nonlinear Rossby Waves* ⋮ New solutions for the (3 + 1)-dimensional Charney-Obukhov equation ⋮ Lump solutions to a generalized Hietarinta-type equation via symbolic computation ⋮ An application of (3+1)-dimensional time-space fractional ZK model to analyze the complex dust acoustic waves ⋮ DECOMPOSING A NEW NONLINEAR DIFFERENTIAL-DIFFERENCE SYSTEM UNDER A BARGMANN IMPLICIT SYMMETRY CONSTRAINT ⋮ Conservation laws, analytical solutions and stability analysis for the time-fractional Schamel-Zakharov-Kuznetsov-Burgers equation
Cites Work
- Unnamed Item
- Unnamed Item
- A deformed reduced semi-discrete Kaup-Newell equation, the related integrable family and Darboux transformation
- ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect
- Mixed lump-kink solutions to the KP equation
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- Mixed lump-kink solutions to the BKP equation
- Combined ZK-mzk equation for Rossby solitary waves with complete Coriolis force and its conservation laws as well as exact solutions
- Time-space fractional \((2+1)\) dimensional nonlinear Schrödinger equation for envelope gravity waves in baroclinic atmosphere and conservation laws as well as exact solutions
- Lump solutions to the Kadomtsev-Petviashvili I equation with a self-consistent source
- A new computational approach for solving nonlinear local fractional PDEs
- Algebro-geometric solutions for a discrete integrable equation
- Study of ion-acoustic solitary waves in a magnetized plasma using the three-dimensional time-space fractional Schamel-KdV equation
- Extinction for a discrete competition system with the effect of toxic substances
- Interaction solutions of a \((2+1)\)-dimensional dispersive long wave system
- Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations
- Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation
- \((2+1)\) dimensional Rossby waves with complete Coriolis force and its solution by homotopy perturbation method
- An integrable generalization of the D-Kaup-Newell soliton hierarchy and its bi-Hamiltonian reduced hierarchy
- Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions
- A two-component generalization of the reduced Ostrovsky equation and its integrable semi-discrete analogue
- Binary Bargmann symmetry constraint associated with 3×3 discrete matrix spectral problem
- Two integrable Hamiltonian hierarchies in sl(2,R) and so(3,R) with three potentials
This page was built for publication: Analytical research of (\(3+1\))-dimensional Rossby waves with dissipation effect in cylindrical coordinate based on Lie symmetry approach
