Note on same result of different ansätz based on extended tanh-function method for nonlinear models
DOI10.1016/J.AMC.2015.08.052zbMath1410.35179OpenAlexW1269583191MaRDI QIDQ670802
Publication date: 20 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.052
extended tanh-function methodpositive and negative power-symmetric ansatzradical sign combined ansatzvariable-coefficientBoiti-Leon-Pempinelli equationpositive power-form ansatz
KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear higher-order PDEs (35G20) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05)
Related Items (6)
Cites Work
- Infinite generation of soliton-like solutions for complex nonlinear evolution differential equations via the NLSE-based constructive method
- Odd-soliton solutions and inelastic interaction for the differential-difference nonlinear Schrödinger equation in nonlinear optics
- Rational solutions to a KdV-like equation
- Notes on the equivalence of different variable separation approaches for nonlinear evolution equations
- Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects
- Superposed Akhmediev breather of the \({(3+1)}\)-dimensional generalized nonlinear Schrödinger equation with external potentials
- Observations on the tanh-coth expansion method for finding solutions to nonlinear evolution equations
- Observations on the basic \((G'/G)\)-expansion method for finding solutions to nonlinear evolution equations
- Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation
- Periodic structures based on variable separation solution of the (2+1)-dimensional boiti-leon-pempinelli equation
- On ``new travelling wave solutions of the KdV and the KdV-Burgers equations
- Seven common errors in finding exact solutions of nonlinear differential equations
- Quasi-two-dimensional Bose-Einstein condensates with spatially modulated cubic-quintic nonlinearities
- Comment on: ``Application of the \((\frac{G'}{G})\)-expansion method for the complex KdV equation [Huiqun Zhang, Commun. Nonlinear Sci. Numer. Simul. 15; 2010:1700-1704]
- A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation
- \(\frac{G'}{G}\)-expansion method for the fifth-order forms of KdV-Sawada-Kotera equation
- Variational iteration method for the Burgers' flow with fractional derivatives -- new Lagrange multipliers
- BLP dissipative structures in plane
- Novel types of interactions between solitons in the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system
- NEW TYPES OF INTERACTIONS BASED ON VARIABLE SEPARATION SOLUTIONS VIA THE GENERAL PROJECTIVE RICCATI EQUATION METHOD
- Novel variable separation solutions and exotic localized excitations via the ETM in nonlinear soliton systems
- A re-study on the (2+1)-dimensional Nizhnik–Novikov–Veselov system by the generalized mapping method
- Comment on “Solitons, Bäcklund transformation, and Lax pair for the (2 + 1)-dimensional Boiti-Leon- Pempinelli equation for the water waves” [J. Math. Phys. 51, 093519 (2010)]
- Modified extended tanh-function method for solving nonlinear partial differential equations
This page was built for publication: Note on same result of different ansätz based on extended tanh-function method for nonlinear models