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Original Articles

Continuous and Discontinuous Piecewise Linear Solutions of the Linearly Forced Inviscid Burgers Equation

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Pages 264-276 | Published online: 21 Jan 2013

References

  • Beals , R , Sattinger , D and Szmigielski , J . 2000 . Multipeakons and the classical moment problem . Advances in Mathematics , 154 : 229 – 257 .
  • Beals , R , Sattinger , D H and Szmigielski , J . 2001 . Inverse scattering solutions of the Hunter–Saxton equation . Appl. Anal. , 78 : 255 – 269 .
  • Bressan , A and Constantin , A . 2007 . Global conservative solutions of the Camassa–Holm equation . Arch. Ration. Mech. Anal. , 183 : 215 – 239 .
  • Camassa , R and Holm , D D . 1993 . An integrable shallow water equation with peaked solitons . Phys. Rev. Lett. , 71 : 1661 – 1664 .
  • Degasperis , A , Holm , D D and Hone , A N W . 2002 . A new integrable equation with peakon solutions . Theoretical and Mathematical Physics , 133 : 1463 – 1474 . nlin. SI/0205023
  • Degasperis , A and Procesi , M . 1999 . “ Asymptotic integrability ” . In Symmetry and perturbation theory (Rome, 1998) , Edited by: Degasperis , A and Gaeta , G . 23 – 37 . River Edge, NJ : World Scientific Publishing .
  • Holden , H and Raynaud , X . 2007 . Global conservative multipeakon solutions of the Camassa-Holm equation . J. Hyperbolic Dyer Equ. , 4 : 39 – 64 .
  • Hunter , J K and Saxton , R . 1991 . Dynamics Of director fields . Siam J. Appl. Math. , 51 : 1498 – 1521 .
  • Hunter , J K and Zheng , Y X . 1994 . On a completely integrable nonlinear hyperbolic variational equation . Phys. D , 79 : 361 – 386 .
  • Kohlenberg , J , Lundmark , H and Szmigielski , J . 2007 . The inverse spectral problem for the discrete cubic string . Inverse Problems , 23 : 99 – 121 .
  • Lundmark , H . 2007 . Formation and dynamics of shock waves in the Degasperis–Procesi equation . J. Nonlinear Sci. , 17 : 169 – 198 .
  • Lundmark , H and Szmigielski , J . 2003 . Multi-Peakon Solutions of the Degasperis–Procesi equation . Inverse Problems , 19 : 1241 – 1245 .
  • Lundmark , H and Szmigielski , J . 2005 . Degasperis–Procesi peakons and the discrete cubic string . IMRP Int. Math. Res. Pap. , 2005 : 53 – 116 .

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