Nonlinearly dispersive KP equations with new compacton solutions

[1]  E. Pelinovsky,et al.  Stability and interaction of compactons in the sublinear KdV equation , 2020, Commun. Nonlinear Sci. Numer. Simul..

[2]  S. Anco,et al.  Topological charges and conservation laws involving an arbitrary function of time for dynamical PDEs , 2020, Proceedings of the Royal Society A.

[3]  Stephen C. Anco,et al.  Symmetry multi-reduction method for partial differential equations with conservation laws , 2019, Commun. Nonlinear Sci. Numer. Simul..

[4]  S. Anco,et al.  Travelling wave solutions on a non-zero background for the generalized Korteweg–de Vries equation , 2019, Journal of Physics A: Mathematical and Theoretical.

[5]  P. Rosenau,et al.  Early and late stages of K(m,n) compactons interaction , 2019, Physics Letters.

[6]  S. Anco,et al.  Conservation Laws, Symmetries, and Line Soliton Solutions of Generalized KP and Boussinesq Equations with p-Power Nonlinearities in Two Dimensions , 2018, Theoretical and Mathematical Physics.

[7]  P. Rosenau,et al.  Compactons , 2018, Journal of Physics A: Mathematical and Theoretical.

[8]  S. Anco,et al.  Conservation Laws, Symmetries, and Line Soliton Solutions of Generalized KP and Boussinesq Equations with p-Power Nonlinearities in Two Dimensions , 2017, Theoretical and Mathematical Physics.

[9]  S. Anco.  Generalization of Noether’s Theorem in Modern Form to Non-variational Partial Differential Equations , 2016, 1605.08734.

[10]  Shengqiang Tang,et al.  Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion , 2014 .

[11]  Alexander Oron,et al.  On compactons induced by a non-convex convection , 2014, Commun. Nonlinear Sci. Numer. Simul..

[12]  Shaoyong Li,et al.  Compacton-like wave and kink-like wave solutions of the generalized KP-MEW (2, 2) equation , 2014 .

[13]  Z. Dai,et al.  Localized structures for (2+1)-dimensional Boiti–Leon–Pempinelli equation , 2013 .

[14]  Minzhi Wei,et al.  Single peak solitary wave solutions for the generalized KP-MEW (2, 2) equation under boundary condition , 2013, Appl. Math. Comput..

[15]  Asit Saha,et al.  Bifurcation of travelling wave solutions for the generalized KP-MEW equations , 2012 .

[16]  Rahila Naz,et al.  Conservation laws for some compacton equations using the multiplier approach , 2012, Appl. Math. Lett..

[17]  G. Bluman,et al.  Applications of Symmetry Methods to Partial Differential Equations , 2009 .

[18]  YU Ya-Xuan,et al.  New Compacton Solutions and Solitary Pattern Solutions for Modified Nonlinearly Dispersive mK(m, n, a, b) Equation , 2009 .

[19]  Philip Rosenau,et al.  On a model equation of traveling and stationary compactons , 2006 .

[20]  곽순섭,et al.  Generalized Functions , 2006, Theoretical and Mathematical Physics.

[21]  张解放,et al.  Interaction between compacton and anticompacton,peakon and antipeakon in （2 ＋ 1）-dimensional spaces , 2005 .

[22]  Abdul-Majid Wazwaz,et al.  The tanh method and the sine–cosine method for solving the KP-MEW equation , 2005, Int. J. Comput. Math..

[23]  Zhang Jie-fang,et al.  Interaction between compacton and anticompacton, peakon and antipeakon in (2+1)-dimensional spaces , 2003 .

[24]  V. Veerakumar,et al.  Modified Kadomtsev-Petviashvili (MKP) equation and electromagnetic soliton , 2003, Math. Comput. Simul..

[25]  Valeri A. Makarov,et al.  Two-dimensional solitons in Bose-Einstein condensates with a disk-shaped trap , 2003 .

[26]  Zhenya Yan,et al.  New compacton soliton solutions and solitary patterns solutions of nonlinearly dispersive Boussinesq equations , 2002 .

[27]  Philip Rosenau,et al.  Compact and noncompact dispersive patterns , 2000 .

[28]  Y. Kivshar,et al.  Self-focusing of plane dark solitons in nonlinear defocusing media. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[29]  Mark J. Ablowitz,et al.  Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation , 1994 .

[30]  P. Rosenau,et al.  Nonlinear dispersion and compact structures. , 1994, Physical review letters.

[31]  Hyman,et al.  Compactons: Solitons with finite wavelength. , 1993, Physical review letters.

[32]  Boris Konopelchenko,et al.  Inverse spectral transform for the modified Kadomtsev-Petviashvili equation , 1992 .

[33]  V. Karpman,et al.  Evolution of three-dimensional nonlinear pulses in weakly dispersive media , 1991 .

[34]  V. Karpman,et al.  Dynamics of two-dimensional solitons in weakly dispersive media , 1991 .

[35]  G. Rowlands,et al.  Nonlinear Waves, Solitons and Chaos , 1990 .

[36]  Mark J. Ablowitz,et al.  On the evolution of packets of water waves , 1979, Journal of Fluid Mechanics.

[37]  Vladimir E. Zakharov,et al.  Three-dimensional solitons , 1974 .

[38]  Granular Lattices.  Nonlinear Waves in , 2009 .

[39]  J. Hyman,et al.  Multidimensional compactons. , 2007, Physical review letters.

[40]  Mustafa Inc.  New Compacton Solutions of Nonlinearly Dispersive R(m,n) Equations , 2006 .

[41]  Mustafa.  New Compacton Solutions of Nonlinearly Dispersive R（m, n） Equations , 2006 .

[42]  Abdul-Majid Wazwaz,et al.  Variants of the two-dimensional boussinesq equation with compactons, solitons, and periodic solutions , 2005 .

[43]  Wenming Zou,et al.  Solitary waves of the generalized Kadomtsev-Petviashvili equations , 2002, Appl. Math. Lett..

[44]  P. Olver.  Applications of Lie Groups to Differential Equations , 1986 .