Variational method for studying solitons in the Korteweg-de Vries equation
β Scribed by Fred Cooper; Carlo Lucheroni; Harvey Shepard; Pasquale Sodano
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 224 KB
- Volume
- 173
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
We present a description of the interactions between the individual solitons of a multisoliton solution of the Korteweg-de Vries equation. This analysis is based on an explicit decomposition of the multisoliton into a linear superposition of accelerating solitary waves and interaction terms, thus mi
A separation method is introduced within the context of dynamical system for solving the non-linear Korteweg-de Vries equation (KdV). Best efficiency is obtained for the number of iterations (n 6 8). Comparisons with the solutions of the quintic spline, finite difference, moving mesh and pseudo-spec
We apply the method of operator splitting on the generalized Korteweg-de Vries (KdV) equation u t + f (u) x + Ξ΅u xxx = 0, by solving the nonlinear conservation law u t + f (u) x = 0 and the linear dispersive equation u t + Ξ΅u xxx = 0 sequentially. We prove that if the approximation obtained by opera