Localized waves and interaction solutions to the fractional generalized CBS-BK equation arising in fluid mechanics
DOI10.1186/s13662-021-03311-1zbMath1494.35141OpenAlexW3138079897MaRDI QIDQ2166844
Ladan Avazpour, As'ad Alizadeh, Jalil Manafian Heris, Onur Alp İlhan
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03311-1
Hirota bilinear methodHessian matrixfractional generalized Calogero-Bogoyavlensky-Schiff-Bogoyavlensky-Konopelchenko equationlump-solitons
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
Cites Work
- Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm
- Explicit solutions of the Bogoyavlensky-Konoplechenko equation
- Counterexamples on Jumarie's two basic fractional calculus formulae
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Exact solutions of the Bogoyavlensky-Konopelchenko equation
- On conservation laws by Lie symmetry analysis for (2+1)-dimensional Bogoyavlensky-Konopelchenko equation in wave propagation
- Solitary and periodic wave solutions of Calogero-Bogoyavlenskii-Schiff equation via exp-function methods
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- Operator-based approach for the construction of analytical soliton solutions to nonlinear fractional-order differential equations
- A symbolic computation approach to constructing rogue waves with a controllable center in the nonlinear systems
- Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation
- On group analysis of the time fractional extended \((2+1)\)-dimensional Zakharov-Kuznetsov equation in quantum magneto-plasmas
- Resonant soliton and complexiton solutions for \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation
- The generalized \((1+1)\)-dimensional and \((2+1)\)-dimensional Ito equations: multiple exp-function algorithm and multiple wave solutions
- Lump-type solutions and interaction phenomenon to the (2+1)-dimensional breaking soliton equation
- Heat and mass transfer investigation of MHD Eyring-Powell flow in a stretching channel with chemical reactions
- Investigation of the fractional coupled viscous Burgers' equation involving Mittag-Leffler kernel
- An efficient analysis for \(N\)-soliton, lump and lump-kink solutions of time-fractional \((2+1)\)-Kadomtsev-Petviashvili equation
- Analysis on the \(M\)-rogue wave solutions of a generalized \((3+1)\)-dimensional KP equation
- Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrödinger system
- Abound rogue wave type solutions to the extended \((3+1)\)-dimensional Jimbo-Miwa equation
- Lump wave solutions and the interaction phenomenon for a variable-coefficient Kadomtsev-Petviashvili equation
- On integrability of the time fractional nonlinear heat conduction equation
- Multiple rogue wave solutions for a (3+1)-dimensional Hirota bilinear equation
- Modified extended tanh-function method and its applications to the Bogoyavlenskii equation
- Lump solutions of a generalized Calogero-Bogoyavlenskii-Schiff equation
- Interaction solutions to Hirota-Satsuma-Ito equation in (2 + 1)-dimensions
- Novel solitary wave solutions for the \((3+1)\)-dimensional extended Jimbo-Miwa equations
- Exact solutions to a generalized Bogoyavlensky-Konopelchenko equation via Maple symbolic computations
- Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
- The Calogero-Bogoyavlenskii-Schiff equation in \(2+1\) dimensions
- Rational solutions for Schwarzian integrable hierarchies
- Multicomponent equations associated to non-isospectral scattering problems
- Rational solutions of the Boussinesq equation and applications to rogue waves
- Exponential prototype structures for (2+1)-dimensional Boiti-Leon-Pempinelli systems in mathematical physics
- General Fractional Derivatives
- A Generalization of the Sine-Gordon Equation to 2 + 1 Dimensions
- Breaking solitons in 2+1-dimensional integrable equations
- Wave solutions for variants of the KdV–Burger and the K(n,n)–Burger equations by the generalized G′/G‐expansion method
- Solitons, Bäcklund transformation and Lax pair for a (2+1)-dimensional Davey-Stewartson system on surface waves of finite depth
- On integrability of the extended (3+1)‐dimensional Jimbo‐Miwa equation
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
- A new fractal nonlinear Burgers' equation arising in the acoustic signals propagation
- Fundamental solutions of anomalous diffusion equations with the decay exponential kernel
- Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations
- ANALYSIS OF THE TIME FRACTIONAL NONLINEAR DIFFUSION EQUATION FROM DIFFUSION PROCESS
- A SEARCH FOR LUMP SOLUTIONS TO A COMBINED FOURTH-ORDER NONLINEAR PDE IN (2+1)-DIMENSIONS
- On the generalized time fractional diffusion equation: Symmetry analysis, conservation laws, optimal system and exact solutions
This page was built for publication: Localized waves and interaction solutions to the fractional generalized CBS-BK equation arising in fluid mechanics