(2+1)-dimensional AKNS(-N) systems II

[1]  H. Wajahat,et al.  Darboux Transformation for a Negative Order AKNS Equation , 2019, Communications in Theoretical Physics.

[2]  Jianke Yang,et al.  General N-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations , 2017, Physics Letters A.

[3]  Xiao Deng,et al.  Solutions of Nonlocal Equations Reduced from the AKNS Hierarchy , 2018 .

[4]  Asli Pekcan Nonlocal coupled HI-MKdv systems , 2019, Commun. Nonlinear Sci. Numer. Simul..

[5]  Metin Gürses,et al.  (2+1)-dimensional local and nonlocal reductions of the negative AKNS system: Soliton solutions , 2018, Commun. Nonlinear Sci. Numer. Simul..

[6]  Zuo-nong Zhu,et al.  Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform , 2016, 1603.03994.

[7]  K. Zheltukhin,et al.  Discrete symmetries and nonlocal reductions , 2019, Physics Letters A.

[8]  Xiao Yang,et al.  An alternative approach to solve the mixed AKNS equations , 2014 .

[9]  Da‐jun Zhang,et al.  Solutions of the nonlocal (2+1)-D breaking solitons hierarchy and the negative order AKNS hierarchy , 2020, Communications in Theoretical Physics.

[10]  Zixiang Zhou Darboux Transformations and Global Explicit Solutions for Nonlocal Davey–Stewartson I Equation , 2016, 1612.05689.

[11]  M. Ablowitz,et al.  Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation , 2016 .

[12]  M. Ablowitz,et al.  Integrable nonlocal nonlinear Schrödinger equation. , 2013, Physical review letters.

[13]  Ji Jie,et al.  Exact Solutions for Two Equation Hierarchies , 2010 .

[14]  A. Khare,et al.  Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations , 2014, 1405.5267.

[15]  V. Vekslerchik FUNCTIONAL REPRESENTATION OF THE NEGATIVE AKNS HIERARCHY , 2012, 1209.0159.

[16]  Yinping Liu,et al.  Breather and lump solutions for nonlocal Davey–Stewartson II equation , 2019, Nonlinear Dynamics.

[17]  Metin Gürses,et al.  Nonlocal modified KdV equations and their soliton solutions by Hirota Method , 2017, Commun. Nonlinear Sci. Numer. Simul..

[18]  A. S. Fokas,et al.  Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation , 2016 .

[19]  Min Li,et al.  Nonsingular localized wave solutions for the nonlocal Davey-Stewartson I equation with zero background , 2017 .

[20]  2 + 1 KdV(N) Equations , 2011, 1102.5230.

[21]  Mark J. Ablowitz,et al.  General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions , 2017, Nonlinearity.

[22]  A Ankiewicz,et al.  Soliton solutions of an integrable nonlinear Schrödinger equation with quintic terms. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  Li-yuan Ma,et al.  Soliton solution and gauge equivalence for an integrable nonlocal complex modified Korteweg-de Vries equation , 2017 .

[24]  Asli Pekcan,et al.  Nonlocal Nonlinear Schr\"odinger Equations and Their Soliton Solutions , 2017, 1707.07610.

[25]  H. W. A. Riaz,et al.  Noncommutative negative order AKNS equation and its soliton solutions , 2018, Modern Physics Letters A.

[26]  M. Lakshmanan,et al.  Effect of discreteness on the continuum limit of the Heisenberg spin chain , 1988 .

[27]  W. Krolikowski,et al.  Breather solutions of a fourth-order nonlinear Schrödinger equation in the degenerate, soliton, and rogue wave limits. , 2017, Physical review. E.

[28]  Zuo-Nong Zhu,et al.  On a nonlocal modified Korteweg-de Vries equation: Integrability, Darboux transformation and soliton solutions , 2017, Commun. Nonlinear Sci. Numer. Simul..

[29]  Min Li,et al.  Dark and antidark soliton interactions in the nonlocal nonlinear Schrödinger equation with the self-induced parity-time-symmetric potential. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  M. Lakshmanan,et al.  On the integrability aspects of the one-dimensional classical continuum isotropic biquadratic Heisenberg spin chain , 1992 .

[31]  J. Rao,et al.  Rogue waves of the nonlocal Davey–Stewartson I equation , 2018, Nonlinearity.

[32]  M. Ablowitz,et al.  Integrable Nonlocal Nonlinear Equations , 2016, 1610.02594.

[33]  Guo-Fu Yu,et al.  Complex and coupled complex negative order AKNS equation , 2016, Commun. Nonlinear Sci. Numer. Simul..

[34]  Liming Ling,et al.  Soliton solutions for the nonlocal nonlinear Schrödinger equation , 2016 .

[35]  Ji Jie,et al.  Soliton Solutions for a Negative Order AKNS Equation Hierarchy , 2009 .

[36]  V. Gerdjikov,et al.  Complete integrability of Nonlocal Nonlinear Schr\"odinger equation , 2015, 1510.00480.

[37]  On the integrable models of the higher order water wave equation , 1993 .

[38]  Zhenya Yan,et al.  Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrödinger equation with the self-induced parity-time-symmetric potential. , 2016, Chaos.

[39]  Yi-Tian Gao,et al.  Dark soliton interactions for a fifth-order nonlinear Schrödinger equation in a Heisenberg ferromagnetic spin chain , 2016 .

[40]  Lei Hu,et al.  Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber , 2018, Appl. Math. Lett..

[41]  M. Ablowitz,et al.  Inverse Scattering Transform for the Nonlocal Reverse Space–Time Nonlinear Schrödinger Equation , 2018, Theoretical and Mathematical Physics.

[42]  Metin Gürses,et al.  Superposition of the coupled NLS and MKdV systems , 2019, Appl. Math. Lett..

[43]  Feng-Hua Qi,et al.  Soliton Solutions and Conservation Laws for an Inhomogeneous Fourth-Order Nonlinear Schrödinger Equation , 2018, Computational Mathematics and Mathematical Physics.

[44]  Jie Ji,et al.  Soliton scattering with amplitude changes of a negative order AKNS equation , 2009 .

[45]  E. Yomba,et al.  Collision of N-solitons in a fifth-order nonlinear Schrödinger equation , 2017 .

[46]  X. Geng,et al.  Quasi-periodic solutions of mixed AKNS equations , 2010 .

[47]  M. Ablowitz,et al.  The Inverse scattering transform fourier analysis for nonlinear problems , 1974 .