2002•Journal of Luoyang UniversityRequires access

Examples for Application of Homogeneous Balancing Method

Qing Li

Abstract

By way of appling the extended form of homogeneous balancing method to nonlinear evolution equation of the constant coefficient, and to nonlinear development of variable coefficient, this paper obtains, as examples, Burgers Kdv equation with constant coefficient as well as solitary solution and solution-like solutions to the Kdv equation with variable coefficient.

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Key concepts: Variable coefficient, Korteweg–de Vries equation, Constant coefficients, Constant (computer programming), Nonlinear system, Mathematics, Homogeneous, Variable (mathematics)