Research Publications of Mahendra Panthee


  1. On the Cauchy problem for a coupled system of KdV equations,
    Comm. on Pure and Appl. Anal., Vol 3, No 3 (2004) 417-431 (with F. Linares).


  2. A note on the unique continuation property for Zakharov-Kuznetsov equation,
    Nonlinear Analysis, Vol 59, Issue 3 (2004) 425-438.


  3. Unique continuation property for  a higher order nonlinear  Schrodinger  equation, 
    J. Math.  Anal. and Appl., Vol 303, Issue 1 (2005) 188-207 (with X. Carvajal).


  4. Unique continuation property for the Kadomtsev-Petviashvili (KP-II) equation ,
    Electronic Journal of Differential Equations, Vol 2005(2005), No 59, 1-12.


  5. On the compact support of solutions to a nonlinear long internal waves model,
    The Nepali Math. Sci. Report, Vol 24, No 1 (2005) 49-58. PDF


  6. On uniqueness of solution for a nonlinear Schrodinger-Airy equation ,
    Nonlinear Analysis, Vol 64, Issue 1 (2006) 146-158 (with X. Carvajal).


  7. Analytic solution for a system of KdV equations,
    The Nepali Math. Sci. Report, 26 (2006), no. 1-2, 47--54. PDF


  8. Well-posedness for the Cauchy problem associated to the Hirota-Satsuma equation; periodic case,
    J. Math.  Anal. and Appl., 326 (2007), no. 2, 800--821 (with J. Drumond Silva). PDF


  9. A remark on global well-posedness below $L^2$ for the gKdV-3 equation ,
    Differential and Integral Equations Volume 20, Number 11 (2007), 1229--1236
    (with A. Grunrock and J. Drumond Silva) (available in arXiv).


  10. On the well-posedness for some perturbations of the KdV equation with low regularity data,
    Electronic Journal of Differential Equations , Vol 2008(2008) No. 02, 1-18, (with X. Carvajal).


  11. On the Cauchy problem for a coupled system of KdV equations: critical case,
    Advances in Differential Equations, Volume 13, Numbers 1-2 (2008) 1-26 (with M. Scialom).