Interaction of Two Pulsatory Waves of the Korteweg-de Vries Equation in a Zigzag Hyperbolic StructureReportar como inadecuado




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A new exact solution for nonlinear interaction of two pulsatory waves ofthe Korteweg-de Vries KdV equation is computed by decomposition in aninvariant zigzag hyperbolic tangent ZHT structure. A computational algorithmis developed by experimental programming with lists of equations andexpressions. The structural solution is proved by theoretical programming withsymbolic general terms. Convergence, tolerance, and summation of the ZHTstructural approximation are discussed. When a reference level vanishes, thetwo-wave solution is reduced to the two-soliton solution of the KdV equation.

KEYWORDS

KdV Equation, Two Pulsatory Waves, ZHT Structure, Experimental, Theoretical Computation

Cite this paper

Miroshnikov, V. 2014 Interaction of Two Pulsatory Waves of the Korteweg-de Vries Equation in a Zigzag Hyperbolic Structure. American Journal of Computational Mathematics, 4, 254-270. doi: 10.4236-ajcm.2014.43022.





Autor: Victor A. Miroshnikov

Fuente: http://www.scirp.org/



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