Application of the ITEM for solving three nonlinear evolution equations arising in fluid mechanics
From MaRDI portal
Publication:785316
DOI10.1007/s11071-018-4589-zzbMath1439.35470OpenAlexW2899397831WikidataQ129006860 ScholiaQ129006860MaRDI QIDQ785316
Ahmet Bekir, Cevat Teymuri Sendi, Hasan Mobasseri, Qin Zhou, Jalil Manafian Heris, Mohammad Mirzazadeh
Publication date: 6 August 2020
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-018-4589-z
generalized regularized-long-wave equationimproved \(\tan (\phi (\xi )/2)\)-expansion methodsymmetric regularized-long-wave equationVakhnenko-Parkes equation
PDEs in connection with fluid mechanics (35Q35) Soliton equations (35Q51) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
Related Items
On the travelling wave solutions of Ostrovsky equation, Propagation of dark-bright soliton and kink wave solutions of fluidized granular matter model arising in industrial applications, Dynamical analysis of nonlocalized wave solutions of \((2 + 1)\)-dimensional CBS and RLW equation with the impact of fractionality and free parameters, Some traveling wave solutions to the generalized (3 + 1)‐dimensional Korteweg–de Vries–Zakharov–Kuznetsov equation in plasma physics, Traveling‐wave solutions for a nonlinear non‐Ohmic cardioelectrophysiological tissue conduction cable equation, Lump wave solutions and the interaction phenomenon for a variable-coefficient Kadomtsev-Petviashvili equation
Cites Work
- New improvement of the expansion methods for solving the generalized Fitzhugh-Nagumo equation with time-dependent coefficients
- Numerical analysis of generalized regularized long wave equation using the element-free kp-Ritz method
- Multiple travelling wave solutions for electrical transmission line model
- Traveling wave solutions for nonlinear dispersive water-wave systems with time-dependent coefficients
- Travelling wave solutions of nonlinear evolution equations using the simplest equation method
- Application of (\(\frac{G'}{G}\))-expansion method to travelling wave solutions of three nonlinear evolution equation
- A new analytical study of MHD stagnation-point flow in porous media with heat transfer
- Application of Exp-function method to Symmetric Regularized Long Wave (SRLW) equation
- Partial differential equations possessing Frobenius integrable decompositions
- Using interpolation scaling functions based on Galerkin method for solving non-Newtonian fluid flow between two vertical flat plates
- Modified simple equation method for nonlinear evolution equations
- The repeated homogeneous balance method and its applications to nonlinear partial differential equations
- A travelling wave solution to the Ostrovsky equation
- Exp-function method for traveling wave solutions of nonlinear evolution equations
- Exp-function method for generalized traveling solutions of master partial differential equation
- Some relatively new techniques for nonlinear problems
- The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method.
- Complexiton solutions to the Korteweg-de Vries equation
- Exact solution and invariant for fractional Cattaneo anomalous diffusion of cells in two-dimensional comb framework
- Rational solutions of the Toda lattice equation in Casoratian form
- Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic function solutions to \((1+1)\)-dimensional dispersive long wave equation
- Variational iteration method for re-formulated partial differential equations
- The singular solutions of a nonlinear evolution equation taking continuous part of the spectral data into account in inverse scattering method
- Solitons and complexitons solutions of an integrable model of \((2+1)\)-dimensional Heisenberg ferromagnetic spin chain
- Study of the analytical treatment of the (2+1)-dimensional Zoomeron, the Duffing and the SRLW equations via a new analytical approach
- Revisit on partial solutions in the Adomian decomposition method: solving heat and wave equations
- Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
- Exp‐function method for solitary and periodic solutions of Fitzhugh‐Nagumo equation
- A meshless numerical solution of the family of generalized fifth‐order Korteweg‐de Vries equations
- New analytical method for the study of natural convection flow of a non‐Newtonian fluid
- Numerical soliton solution of the Kaup‐Kupershmidt equation
- Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses
- The two loop soliton solution of the Vakhnenko equation
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
- New and more general traveling wave solutions for nonlinear Schrödinger equation
- Solving nonlinear fractional partial differential equations using the homotopy analysis method