Comparison study for numerical solution and travelling wave solution for Ito coupled system

Kawala, A. M.

doi:10.1002/num.20378

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Reduced Systems and Exact Solutions1

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2013

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“…In the following, some exact solutions for the reduced systems are studied for each type of subalgebra. We first solve the associated Lagrange equations for subalgebra to obtain the group invariant solutions, and then obtain the reduced system of ODEs, [6][7][8][9][10][11][12][13][14][15][16] which are further studied for the exact and numerical solutions dx…”

Section: Reduced Systems and Exact Solutionsmentioning

confidence: 99%

Comparative study of travelling-wave and numerical solutions for the coupled short pulse (CSP) equation

Kumar¹,

Gupta²,

Jiwari³

2013

Chinese Phys. B

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The Lie symmetry analysis is performed for the coupled short plus (CSP) equation. We derive the infinitesimals that admit the classical symmetry group. Five types arise depending on the nature of the Lie symmetry generator. In all types, we find reductions in terms of system of ordinary differential equations, and exact solutions of the CSP equation are derived, which are compared with numerical solutions using the classical fourth-order Runge-Kutta scheme.

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