Solutions of two-dimensional nonlinear sine-Gordon equation via triple Laplace transform coupled with iterative method

DOI10.1155/2021/9279022zbMath1499.65595OpenAlexW3203217434MaRDI QIDQ2241278

Ademe Kebede Gizaw, Yesuf Obsie Mussa, Alemayehu Tamirie Deresse

Publication date: 8 November 2021

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

Full work available at URL: https://doi.org/10.1155/2021/9279022

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Laplace transform (44A10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (3)

Analytical solutions to two-dimensional nonlinear telegraph equations using the conformable triple Laplace transform iterative method ⋮ Solutions of three dimensional nonlinear Klein-Gordon equations by using quadruple Laplace transform ⋮ Approximate analytical solution to nonlinear delay differential equations by using Sumudu iterative method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A possible generalization of acoustic wave equation using the concept of perturbed derivative order
• Analyzing two-dimensional sine-Gordon equation with the mesh-free reproducing kernel particle Ritz method
• Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM)
• Convergence of the new iterative method
• An iterative method for solving nonlinear functional equations
• Approximate analytic solutions of two-dimensional nonlinear Klein-Gordon equation by using the reduced differential transform method
• Partial differential equations and solitary waves theory
• An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations
• On multi-Laplace transform for solving nonlinear partial differential equations with mixed derivatives
• Meshless singular boundary method for nonlinear sine-Gordon equation
• Some new exact solutions of (1\(+\)2)-dimensional sine-Gordon equation
• Numerical simulation of two-dimensional sine-Gordon solitons by differential quadrature method
• A note on double Laplace transform and telegraphic equations
• Numerical solution of sine-Gordon equation with the local kriging meshless method
• Extension of triple Laplace transform for solving fractional differential equations
• A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions
• Analytical solution of two-dimensional sine-Gordon equation
• A note on the triple Laplace transform and its applications to some kind of third-order differential equation
• The double Laplace transforms and their properties with applications to functional, integral and partial differential equations
• Numerical solution of two-dimensional nonlinear sine-Gordon equation using localized method of approximate particular solutions
• Space-time spectral method for the two-dimensional generalized sine-Gordon equation
• An efficient finite difference scheme for the 2D sine-Gordon equation
• LATTICE BOLTZMANN MODEL FOR TWO-DIMENSIONAL GENERALIZED SINE-GORDON EQUATION

This page was built for publication: Solutions of two-dimensional nonlinear sine-Gordon equation via triple Laplace transform coupled with iterative method