TY - JOUR AU - Zakharov, V. E. AU - Kuznetsov, E. A. PY - 1974 DA - 1974// TI - On three-dimensional solitons JO - Sov. Phys. JETP VL - 39 ID - Zakharov1974 ER - TY - JOUR AU - Kivshar, Y. S. AU - Pelinovsky, D. E. PY - 2000 DA - 2000// TI - Self-focusing and transverse instabilities of solitary waves JO - Phys. Rep. VL - 331 UR - https://doi.org/10.1016/S0370-1573(99)00106-4 DO - 10.1016/S0370-1573(99)00106-4 ID - Kivshar2000 ER - TY - JOUR AU - Biagioni, H. A. AU - Linares, F. PY - 2003 DA - 2003// TI - Well-posedness results for the modified Zakharov-Kuznetsov equation JO - Prog. Nonlinear Differ. Equ. Appl. VL - 54 ID - Biagioni2003 ER - TY - JOUR AU - Faminskii, A. V. PY - 1995 DA - 1995// TI - The Cauchy problem for the Zakharov-Kuznetsov equation JO - Differ. Equ. VL - 31 ID - Faminskii1995 ER - TY - JOUR AU - Xu, Y. AU - Shu, C. -. W. PY - 2005 DA - 2005// TI - Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations JO - Physica D VL - 208 UR - https://doi.org/10.1016/j.physd.2005.06.007 DO - 10.1016/j.physd.2005.06.007 ID - Xu2005 ER - TY - JOUR AU - Ren, Z. AU - Wei, L. AU - He, Y. AU - Wang, S. PY - 2012 DA - 2012// TI - Numerical analysis of an implicit fully discrete local discontinuous Galerkin method for the fractional Zakharov-Kuznetsov equation JO - Math. Model. Anal. VL - 17 UR - https://doi.org/10.3846/13926292.2012.708675 DO - 10.3846/13926292.2012.708675 ID - Ren2012 ER - TY - JOUR AU - Cheng, Y. AU - Shu, C. -. W. PY - 2008 DA - 2008// TI - A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives JO - Math. Comput. VL - 77 UR - https://doi.org/10.1090/S0025-5718-07-02045-5 DO - 10.1090/S0025-5718-07-02045-5 ID - Cheng2008 ER - TY - JOUR AU - Kumar, S. PY - 2014 DA - 2014// TI - A new analytical modelling for telegraph equation via Laplace transform JO - Appl. Math. Model. VL - 38 UR - https://doi.org/10.1016/j.apm.2013.11.035 DO - 10.1016/j.apm.2013.11.035 ID - Kumar2014 ER - TY - JOUR AU - Xu, Y. AU - Shu, C. -. W. PY - 2007 DA - 2007// TI - Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations JO - Comput. Methods Appl. Mech. Eng. VL - 196 UR - https://doi.org/10.1016/j.cma.2006.10.043 DO - 10.1016/j.cma.2006.10.043 ID - Xu2007 ER - TY - JOUR AU - Xu, Y. AU - Shu, C. -. W. PY - 2004 DA - 2004// TI - Local discontinuous Galerkin methods for three classes of nonlinear wave equations JO - J. Comput. Math. VL - 22 ID - Xu2004 ER - TY - BOOK AU - Ciarlet, P. PY - 1978 DA - 1978// TI - The Finite Element Method for Elliptic Problems PB - North-Holland CY - Amsterdam ID - Ciarlet1978 ER - TY - JOUR AU - Cockburn, B. AU - Shu, C. -. W. PY - 1989 DA - 1989// TI - TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework JO - Math. Comput. VL - 52 ID - Cockburn1989 ER - TY - JOUR AU - Shu, C. -. W. AU - Osher, S. PY - 1988 DA - 1988// TI - Efficient implementation of essentially non-oscillatory shock-capturing schemes JO - J. Comput. Phys. VL - 77 UR - https://doi.org/10.1016/0021-9991(88)90177-5 DO - 10.1016/0021-9991(88)90177-5 ID - Shu1988 ER -