The application of the \(\exp(- \Phi(\xi))\)-expansion method for finding the exact solutions of two integrable equations

DOI10.1155/2018/5191736zbMath1427.35010OpenAlexW2902542711MaRDI QIDQ1721042

Ghazala Akram, Naila Sajid

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/5191736

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Related Items (3)

The investigation of exact solutions of Korteweg-de vries equation with dual power law nonlinearity using the exp_aand exp (− Φ (ξ)) methods ⋮ Optical solutions of the Date-Jimbo-Kashiwara-Miwa equation via the extended direct algebraic method ⋮ Implementation of the exp-function approach for the solution of KdV equation with dual power law nonlinearity

Cites Work

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• Darboux transformation and analytic solutions of the discrete \(\mathcal{PT}\)-symmetric nonlocal nonlinear Schrödinger equation
• Symbolic methods to construct exact solutions of nonlinear partial differential equations
• Comparison between homotopy perturbation method and optimal homotopy asymptotic method for the soliton solutions of Boussinesq-Burger equations
• Wronskian and Grammian solutions for a \((2+1)\)-dimensional Date-Jimbo-Kashiwara-Miwa equation
• Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation
• A new fifth-order nonlinear integrable equation: multiple soliton solutions
• On the combinatorics of the HirotaD-operators
• The Painlevé property for partial differential equations
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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