Slowly Varying Solitary Waves. I. Korteweg-De Vries Equation
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关键词: Korteweg–de Vries equation 、 Perturbation (astronomy) 、 Mathematics 、 Conservation law 、 Variable coefficient 、 Cnoidal wave 、 Slowly varying envelope approximation 、 Mathematical analysis 、 Amplitude 、 Exact solutions in general relativity
摘要: The slowly varying solitary wave is constructed as an asymptotic solution of the variable coefficient Korteweg-de Vries equation. A multiple scale method used to determine amplitude and phase second order in perturbation parameter. structure ahead behind also determined, results are interpreted by using conservation laws. Outer expansions introduced remove non-uniformities expansion. Finally, when coefficients satisfy a certain constraint, exact constructed.
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