Conservation laws of space-time fractional mZK equation for Rossby solitary waves with complete Coriolis force
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Publication:1720030
DOI10.1515/ijnsns-2018-0026zbMath1451.76031OpenAlexW2901230807MaRDI QIDQ1720030
Min Guo, Hailun He, Hong Wei Yang
Publication date: 12 February 2019
Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ijnsns-2018-0026
Solitary waves for incompressible inviscid fluids (76B25) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
- Symmetry analysis and rogue wave solutions for the \((2+1)\)-dimensional nonlinear Schrödinger equation with variable coefficients
- On bilinear representations and infinite conservation laws of a nonlinear variable-coefficient equation
- Symmetry analysis and conservation laws for the class of time-fractional nonlinear dispersive equation
- 1-soliton solution of the generalized Zakharov-Kuznetsov equation with nonlinear dispersion and time-dependent coefficients
- The homotopy analysis method for approximating the solution of the modified Korteweg-de Vries equation
- A formulation of the fractional Noether-type theorem for multidimensional Lagrangians
- A new one-step smoothing Newton method for second-order cone programming.
- Conservation laws for time-fractional subdiffusion and diffusion-wave equations
- Time-fractional KdV equation: Formulation and solution using variational methods
- Fractional conservation laws in optimal control theory
- A deformed reduced semi-discrete Kaup-Newell equation, the related integrable family and Darboux transformation
- A formulation of Noether's theorem for fractional problems of the calculus of variations
- Positive and negative integrable hierarchies, associated conservation laws and Darboux transformation
- Solitary wave solutions for time fractional third order modified KdV equation using two reliable techniques \((G^{\prime} / G)\)-expansion method and improved \((G^{\prime} / G)\)-expansion method
- ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect
- Analysis of Lie symmetries with conservation laws for the (3+1) dimensional time-fractional mKdV-ZK equation in ion-acoustic waves
- A new ZK-BO equation for three-dimensional algebraic Rossby solitary waves and its solution as well as fission property
- Mixed lump-kink solutions to the KP equation
- Space-time fractional nonlinear partial differential equations: symmetry analysis and conservation laws
- 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
- Dissipative nonlinear Schrödinger equation for envelope solitary Rossby waves with dissipation effect in stratified fluids and its solution
- On the solitary wave solution of fractional Kudryashov-Sinelshchikov equation describing nonlinear wave processes in a liquid containing gas bubbles
- Algebro-geometric solutions for a discrete integrable equation
- Formulation of Euler-Lagrange equations for fractional variational problems
- A new class of smoothing functions and a smoothing Newton method for complementarity problems
- Solutions of a discrete integrable hierarchy by straightening out of its continuous and discrete constrained flows
- A new ZK-ILW equation for algebraic gravity solitary waves in finite depth stratified atmosphere and the research of squall lines formation mechanism
- Almost structure-preserving analysis for weakly linear damping nonlinear Schrödinger equation with periodic perturbation
- Generalized multi-symplectic integrators for a class of Hamiltonian nonlinear wave PDEs
- Axial dynamic buckling analysis of embedded single-walled carbon nanotube by complex structure-preserving method
- Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation
- A new integro-differential equation for Rossby solitary waves with topography effect in deep rotational fluids
- \((2+1)\) dimensional Rossby waves with complete Coriolis force and its solution by homotopy perturbation method
- Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions
- Two integrable lattice hierarchies and their respective Darboux transformations
- A general formulation and solution scheme for fractional optimal control problems
- Multi-symplectic method for peakon-antipeakon collision of quasi-Degasperis-Procesi equation
- The Modified Korteweg-de Vries Equation
- Combined sinh-cosh-Gordon equation: Symmetry reductions, exact solutions and conservation laws
- Nonlinear self-adjointness and conservation laws
- On the theory of solitary Rossby waves
- Multi-symplectic structures and wave propagation
- Group Analysis, Fractional Explicit Solutions and Conservation Laws of Time Fractional Generalized Burgers Equation
- Fractional Kinetics in Solids
- ( G ′/ G )-Expansion Method for Solving Fractional Partial Differential Equations in the Theory of Mathematical Physics
- Group analysis, nonlinear self-adjointness, conservation laws, and soliton solutions for the mKdV systems
- New uniqueness results for boundary value problem of fractional differential equation
- Fractional variational calculus in terms of Riesz fractional derivatives
- Fractional variational calculus and the transversality conditions
- Long Non‐Linear Waves in Fluid Flows
