skip to main content
Idioma:
Primo Search
Clear Search Box
Search in: Busca Geral
Busca Avançada
Busca por Índices
Tipo de recurso Mostra resultados com: Mostra resultados com: Índice

New solitary solutions and a conservative numerical method for the Rosenau–Kawahara equation with power law nonlinearity

He, Dongdong

Nonlinear dynamics, 2015-11, Vol.82 (3), p.1177-1190 [Periódico revisado por pares]

Dordrecht: Springer Netherlands

Texto completo disponível

Citações Citado por
  • Título:
    New solitary solutions and a conservative numerical method for the Rosenau–Kawahara equation with power law nonlinearity
  • Autor: He, Dongdong
  • Assuntos: Automotive Engineering ; Classical Mechanics ; Control ; Convergence ; Dynamical Systems ; Energy conservation ; Energy conservation law ; Engineering ; Finite difference method ; Mechanical Engineering ; Nonlinearity ; Numerical methods ; Original Paper ; Power law ; Solitary waves ; Vibration
  • É parte de: Nonlinear dynamics, 2015-11, Vol.82 (3), p.1177-1190
  • Descrição: Recently, Biswas et al. (Phys Wave Phenom 19:24–29, 2011 ) derived exact bright and dark solitary solutions for the Rosenau–Kawahara equation with power law nonlinearity, and Hu et al. (Adv Math Phys 11, Article ID 217393, 2014 ) proposed two conservative finite difference schemes for the usual Rosenau–Kawahara equation. In this paper, we obtain another set of exact solitary solutions for the Rosenau–Kawahara equation with power law nonlinearity. More importantly, a conservative finite difference method is presented. The fundamental energy conservation law is preserved by the current numerical scheme. And the existence and uniqueness of the numerical solution are proved. The convergence and stability of the numerical solution are also shown. The method is second-order convergent both in time and in space. Finally, numerical results confirm well with the theoretical results and show that the current method can be well used to study the solitary wave at long time.
  • Editor: Dordrecht: Springer Netherlands
  • Idioma: Inglês
Voltar para lista de resultados

  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

Buscando em bases de dados remotas. Favor aguardar.