Exact Solutions of the Harry—Dym Equation

DOI10.1088/0253-6102/55/2/03zbMath1264.37044OpenAlexW2171590375MaRDI QIDQ4922801

Reza Mokhtari

Publication date: 4 June 2013

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/55/2/03

zbMATH Keywords

Adomian decomposition methodvariational iteration methodHarry-Dym equationdirect integration methodpower series methodexact travelling wave solution

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Traveling wave solutions (35C07)

Related Items (12)

The classification and representation of single traveling wave solutions to the generalized Fornberg-Whitham equation ⋮ Solving the Dym initial value problem in reproducing kernel space ⋮ An efficient approach for fractional Harry Dym equation by using Sumudu transform ⋮ Haar wavelet methods for numerical solutions of Harry Dym (HD), BBM Burger's and 2D diffusion equations ⋮ Bounded traveling wave solutions and their relations for the generalized HD type equation ⋮ Numerical solution of the regularized long wave equation using nonpolynomial splines ⋮ ANALYTICAL APPROXIMATE SOLUTIONS OF (N + 1)-DIMENSIONAL FRACTAL HARRY DYM EQUATIONS ⋮ The fractional natural decomposition method: theories and applications ⋮ Method for constructing analytical solutions to the Dym initial value problem ⋮ An approximate solution for a fractional model of generalized Harry Dym equation ⋮ On the fractional Harry Dym equation ⋮ Long time behavior and soliton solution for the Harry Dym equation

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