Exact solutions and conservation laws of multi Kaup-Boussinesq system with fractional order

DOI10.1007/s13324-020-00467-zzbMath1456.35221OpenAlexW3120886396MaRDI QIDQ2221321

Yanyan Li

Publication date: 26 January 2021

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-020-00467-z

zbMATH Keywords

conservation lawsexact solutionsgroup analysisfractional multi Kaup-Boussinesq system

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Symmetries and conservation laws in mechanics of particles and systems (70S10) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (4)

Linear stability of exact solutions for the generalized Kaup-Boussinesq equation and their dynamical evolutions ⋮ Formation of the undular bores in shallow water generalized Kaup-Boussinesq model ⋮ Traveling wave solution of the Kaup-Boussinesq system with beta derivative arising from water waves ⋮ Lie symmetries, invariant subspace method, and conservation laws for a time fractional generalized Broer-Kaup system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional sub-equation method and its applications to nonlinear fractional PDEs
• Conservation laws for time-fractional subdiffusion and diffusion-wave equations
• A new conservation theorem
• Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Invariant analysis with conservation laws for the time fractional Drinfeld-Sokolov-Satsuma-Hirota equations
• Symmetries and exact solutions of the time fractional Harry-Dym equation with Riemann-Liouville derivative
• Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus
• Different methods for \((3+1)\)-dimensional space-time fractional modified KdV-Zakharov-Kuznetsov equation
• Conservation laws for certain time fractional nonlinear systems of partial differential equations
• Time-fractional Cahn-Allen and time-fractional Klein-Gordon equations: Lie symmetry analysis, explicit solutions and convergence analysis
• Symmetries, explicit solutions and conservation laws for some time space fractional nonlinear systems
• Some exact solutions and conservation laws of the coupled time-fractional Boussinesq-Burgers system
• Solutions to Class of Linear and Nonlinear Fractional Differential Equations
• Consistent Riccati Expansion Method and Its Applications to Nonlinear Fractional Partial Differential Equations
• On invariant analysis of some time fractional nonlinear systems of partial differential equations. I
• Traveling wave solutions of degenerate coupled Korteweg-de Vries equation
• Nonlinear self-adjointness and conservation laws
• Noether Symmetry and Conserved Quantities of Fractional Birkhoffian System in Terms of Herglotz Variational Problem
• Traveling wave solutions and conservation laws for nonlinear evolution equation
• NUMERICAL TREATMENT OF THE SPACE–TIME FRACTAL–FRACTIONAL MODEL OF NONLINEAR ADVECTION–DIFFUSION–REACTION EQUATION THROUGH THE BERNSTEIN POLYNOMIALS
• Lie symmetry analysis, conservation laws and analytical solutions of a time-fractional generalized KdV-type equation*
• Lie symmetry analysis, conservation laws and explicit solutions for the time fractional Rosenau-Haynam equation
• Fractional Calculus

This page was built for publication: Exact solutions and conservation laws of multi Kaup-Boussinesq system with fractional order