Application of the exp-function method for solving a partial differential equation arising in problems of hydrodynamics

DOI10.1007/s40819-017-0335-3zbMath1397.35061OpenAlexW2594940493WikidataQ115372519 ScholiaQ115372519MaRDI QIDQ1792254

Mehdi Fazli Aghdaei, Jalil Manafian Heris

Publication date: 11 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-017-0335-3

zbMATH Keywords

Exp-function methodHarry Dym equationsolitary and soliton solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (2)

Weakly nonlinear waves propagating in hyperelastic cylindrical rod tranquility of compressible Murnaghan material ⋮ Exact solutions of nonlinear evolution equations using the extended modified \(\operatorname{Exp}(-\Omega (\xi))\) function method

Cites Work

• Modified simple equation method for nonlinear evolution equations
• The repeated homogeneous balance method and its applications to nonlinear partial differential equations
• Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
• Solitary wave solutions of the generalized shallow water wave (GSWW) equation by Hirota's method, tanh-coth method and exp-function method
• Application of exp-function method to high-dimensional nonlinear evolution equation
• Exp-function method and its application to nonlinear equations
• Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic function solutions to \((1+1)\)-dimensional dispersive long wave equation
• Revisit on partial solutions in the Adomian decomposition method: solving heat and wave equations
• Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses
• Exponential prototype structures for (2+1)-dimensional Boiti-Leon-Pempinelli systems in mathematical physics
• Solving nonlinear fractional partial differential equations using the homotopy analysis method
• New wave behaviors of the system of equations for the ion sound and Langmuir Waves

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