Boussinesq solitary‐wave as a multiple‐time solution of the Korteweg–de Vries hierarchy
作者： Roberto André Kraenkel , M. A. Manna , J. G. Pereira , J. C. Montero
DOI: 10.1063/1.531190
关键词:
摘要: We study the Boussinesq equation from point of view a multiple‐time reductive perturbation method. As consequence elimination secular producing terms through use Korteweg–de Vries hierarchy, we show that solitary‐wave is satisfying simultaneously all equations each one in an appropriate slow time variable.
scitation.org
harvard.edu
aip.org 
sci-hub.st 参考文章(5)
Tosiya Taniuti, Reductive Perturbation Method and Far Fields of Wave Equations Progress of Theoretical Physics Supplement. ,vol. 55, pp. 1- 35 ,(1974) , 10.1143/PTPS.55.1
V. E. Zakharov, A. B. Shabat, A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I Functional Analysis and Its Applications. ,vol. 8, pp. 226- 235 ,(1975) , 10.1007/BF01075696
R. A. Kraenkel, M. A. Manna, J. G. Pereira, The Korteweg–de Vries hierarchy and long water‐waves Journal of Mathematical Physics. ,vol. 36, pp. 307- 320 ,(1995) , 10.1063/1.531294
G. Sandri, A new method of expansion in mathematical physics - I Il Nuovo Cimento. ,vol. 36, pp. 67- 93 ,(1965) , 10.1007/BF02750660
What Is Integrability Springer Berlin Heidelberg. ,(1991) , 10.1007/978-3-642-88703-1