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Volumn 86, Issue 3, 2007, Pages 331-351

Solitons and periodic travelling waves for the 2D-generalized Benney–Luke equation

Author keywords

2000 Mathematics Subject Classifications; 2D water model; 35A15; 35B10; 35Q35; 35Q51; Periodic approximation; Solitons; Travelling waves; Variational methods

Indexed keywords


EID: 84994693796     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036810601152390     Document Type: Article
Times cited : (9)

References (8)
  • 1
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    • A host of travelling waves in a model of three-dimensional water-wave dynamics
    • Pego, RL, and Quintero, J. 2002. A host of travelling waves in a model of three-dimensional water-wave dynamics. Nonlinear Science, 12: 59–83.
    • (2002) Nonlinear Science , vol.12 , pp. 59-83
    • Pego, R.L.1    Quintero, J.2
  • 2
    • 0345102508 scopus 로고    scopus 로고
    • Periodic and solitary waves solutions for the generalized Kadomtsev–Petviashvili equation
    • Pankov, A, and Pflüger, K. 1999. Periodic and solitary waves solutions for the generalized Kadomtsev–Petviashvili equation. Mathematical Methods in the Applied Science, 22 (9): 733–752.
    • (1999) Mathematical Methods in the Applied Science , vol.22 , Issue.9 , pp. 733-752
    • Pankov, A.1    Pflüger, K.2
  • 4
    • 34547564585 scopus 로고    scopus 로고
    • Existence and analyticity of lump solutions for generalized Benney–Luke equations
    • Quintero, JR. 2002. Existence and analyticity of lump solutions for generalized Benney–Luke equations. Revista Colombiana de Mathmaticas, 36: 71–95.
    • (2002) Revista Colombiana de Mathmaticas , vol.36 , pp. 71-95
    • Quintero, J.R.1
  • 5
    • 0001108712 scopus 로고    scopus 로고
    • Two–dimensional solitary Waves for a Benney–Luke equation stability of cnoidal waves
    • Pego, RL, and Quintero, J. 1999. Two–dimensional solitary Waves for a Benney–Luke equation stability of cnoidal waves. Physica D, 45: 476–496.
    • (1999) Physica D , vol.45 , pp. 476-496
    • Pego, R.L.1    Quintero, J.2
  • 6
    • 85030719142 scopus 로고
    • The concentration compactness method in the calculus of variations. The locally compact case. I, II, partial differential equations and hamiltonian systems
    • Lions, PL. 1984. The concentration compactness method in the calculus of variations. The locally compact case. I, II, partial differential equations and hamiltonian systems. Annals de Institute, Henri Poinacré, Analyse Non Linéaire, 1 (109–145): 223–283.
    • (1984) Annals de Institute, Henri Poinacré, Analyse Non Linéaire , vol.1 , Issue.109-145 , pp. 223-283
    • Lions, P.L.1
  • 7
    • 74349123971 scopus 로고    scopus 로고
    • Existence and stability of solitary waves solutions to nonlinear dispersive evolutions equations
    • Colóquio Brasileiro de Matemáticas
    • Angulo, J. 2003. Existence and stability of solitary waves solutions to nonlinear dispersive evolutions equations. Publicaciones Matemáticas Impa, 24 Colóquio Brasileiro de Matemáticas
    • (2003) Publicaciones Matemáticas Impa , vol.24
    • Angulo, J.1
  • 8
    • 33750623171 scopus 로고    scopus 로고
    • Stability of cnoidal waves to Hirota–Satsuma systems
    • Angulo, J. 2004. Stability of cnoidal waves to Hirota–Satsuma systems. Matemática Contemporánea, 27: 189–223.
    • (2004) Matemática Contemporánea , vol.27 , pp. 189-223
    • Angulo, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.