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Volumn 45, Issue 2-3, 2003, Pages 161-173

Numerical investigation for the solitary waves interaction of the "good" Boussinesq equation

Author keywords

Collision; Finite difference; Nonlinear; One dimensional; Soliton

Indexed keywords

FINITE DIFFERENCE METHOD; ITERATIVE METHODS; SOLITONS; WAVE EQUATIONS;

EID: 0037401905     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(02)00187-3     Document Type: Article
Times cited : (36)

References (13)
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    • A new approach to high-order Boussinesq models
    • Agnon Y., Madsen P.A., Schoffer H.A. A new approach to high-order Boussinesq models. J. Fluid Mech. 399:1999;319-333.
    • (1999) J. Fluid Mech. , vol.399 , pp. 319-333
    • Agnon, Y.1    Madsen, P.A.2    Schoffer, H.A.3
  • 4
    • 0345020345 scopus 로고    scopus 로고
    • The solution of the Boussinesq equation using the method of lines
    • Bratsos A.G. The solution of the Boussinesq equation using the method of lines. Comput. Methods Appl. Mech. Engrg. 157:1998;33-44.
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.157 , pp. 33-44
    • Bratsos, A.G.1
  • 5
    • 36849101831 scopus 로고
    • Exact N -soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices
    • Hirota R. Exact N -soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices. J. Math. Phys. 14:1973;810-814.
    • (1973) J. Math. Phys. , vol.14 , pp. 810-814
    • Hirota, R.1
  • 6
    • 0018975259 scopus 로고
    • Numerical solution of equations having inelastic soliton wave interaction
    • Iskandar L., Jain P.C. Numerical solution of equations having inelastic soliton wave interaction. Comput. Math. Appl. 6:1980;373-383.
    • (1980) Comput. Math. Appl. , vol.6 , pp. 373-383
    • Iskandar, L.1    Jain, P.C.2
  • 8
    • 0001535009 scopus 로고
    • Soliton and antisoliton interactions in the "good" Boussinesq equation
    • Manoranjan V.S., Ortega T., Sang-Serna J.M. Soliton and antisoliton interactions in the "good" Boussinesq equation. J. Math. Phys. 29:1988;1964-1968.
    • (1988) J. Math. Phys. , vol.29 , pp. 1964-1968
    • Manoranjan, V.S.1    Ortega, T.2    Sang-Serna, J.M.3
  • 9
    • 84980167430 scopus 로고
    • Boussinesq's equation on the circle
    • Mckean H.P. Boussinesq's equation on the circle. Comm. Pure Appl. Math. 34:1981;599-691.
    • (1981) Comm. Pure Appl. Math. , vol.34 , pp. 599-691
    • Mckean, H.P.1
  • 10
    • 0000511098 scopus 로고
    • Nonlinear stability and convergence of finite-difference methods for the "good" Boussinesq equation
    • Ortega T., Sanz-Sema J.M. Nonlinear stability and convergence of finite-difference methods for the "good" Boussinesq equation. Numer. Math. 58:1990;215-229.
    • (1990) Numer. Math. , vol.58 , pp. 215-229
    • Ortega, T.1    Sanz-Sema, J.M.2
  • 12
    • 0032141409 scopus 로고
    • The long wave limit for a Boussinesq equation
    • Schneider G. The long wave limit for a Boussinesq equation. SIAM J. Appl. Math. 58:1992;1237-1245.
    • (1992) SIAM J. Appl. Math. , vol.58 , pp. 1237-1245
    • Schneider, G.1
  • 13
    • 0001080329 scopus 로고
    • Randomization problem for one-dimensional chains of nonlinear operators
    • in Russian
    • Zakharov V.B. Randomization problem for one-dimensional chains of nonlinear operators. Zh. Eksper. Theoret. Fiz. 65:1973;219-228. (in Russian).
    • (1973) Zh. Eksper. Theoret. Fiz. , vol.65 , pp. 219-228
    • Zakharov, V.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.