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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 3
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Original Articles

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

Pages 331-351 | Received 20 Jul 2006, Accepted 17 Nov 2006, Published online: 13 Apr 2007

References

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  • Quintero , JR and Angulo , J . 2006 . Existence and orbital stability of cnoidal waves for a 1D Boussinesq equation. . Accepted, International Journal of Mathematics and Mathematical Science ,
  • Quintero , JR . 2002 . Existence and analyticity of lump solutions for generalized Benney–Luke equations. . Revista Colombiana de Mathmaticas , 36 : 71 – 95 .
  • Pego , RL and Quintero , J . 1999 . Two–dimensional solitary Waves for a Benney–Luke equation stability of cnoidal waves. . Physica D , 45 : 476 – 496 .
  • 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 .
  • Angulo , J . 2003 . Existence and stability of solitary waves solutions to nonlinear dispersive evolutions equations. . Publicaciones Matemáticas Impa , 24 Colóquio Brasileiro de Matemáticas
  • Angulo , J . 2004 . Stability of cnoidal waves to Hirota–Satsuma systems. . Matemática Contemporánea , 27 : 189 – 223 .

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