NDLI: The (2+1) Dimensional Nonlinear Sine–Gordon Soliton Waves and its Numerical Simulations

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The (2+1) Dimensional Nonlinear Sine–Gordon Soliton Waves and its Numerical Simulations

Content Provider	Scilit
Author	Tamsir, Mohammad Dhiman, Neeraj
Copyright Year	2020
Description	This chapter represents the numerical simulation of (2 + 1) dimensional nonlinear sine–Gordon soliton waves. A hybrid cubic B-spline differential quadrature method is used for simulations. The hybrid cubic B-splines work as a basis function in differential quadrature method (DQM) for computing the weighting coefficients of derivatives with respect to space variables. By using these weighting coefficients, the (2 + 1) dimensional nonlinear sine–Gordon equation (SGE) transforms into system of ordinary differential equations (ODEs). These ODEs are solved by SSP-RK54 method. Both damped and undamped cases are selected for numerical simulations. Obtained results are better than the results available in literature and initiated a good agreement with the exact solution and earlier numerical results. The rate of convergence is also carried out. Book Name: Recent Advances in Mathematics for Engineering
Related Links	https://api.taylorfrancis.com/content/chapters/edit/download?identifierName=doi&identifierValue=10.1201/9780429200304-7&type=chapterpdf
Ending Page	170
Page Count	14
Starting Page	157
DOI	10.1201/9780429200304-7
Language	English
Publisher	Informa UK Limited
Publisher Date	2020-03-17
Access Restriction	Open
Subject Keyword	Book Name: Recent Advances in Mathematics for Engineering Condensed Matter Physics Numerical Simulations Differential Gordon Dimensional Nonlinear Nonlinear Sine Soliton Spline
Content Type	Text
Resource Type	Chapter

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