Multiple lump and interaction solutions for fifth-order variable coefficient nonlinear-Schrödinger dynamical equation

[1]  Jiayin Liu,et al.  Existence of stable standing waves for the Lee-Huang-Yang corrected dipolar Gross-Pitaevskii equation , 2021, Appl. Math. Lett..

[2]  A. Seadawy,et al.  Analytical mathematical approaches for the double-chain model of DNA by a novel computational technique , 2021 .

[3]  Ben Gao,et al.  Complex wave solutions described by a (3+1)-dimensional coupled nonlinear Schrödinger equation with variable coefficients , 2021 .

[4]  A. Seadawy,et al.  Multi-wave, breather and interaction solutions to (3+1) dimensional Vakhnenko–Parkes equation arising at propagation of high-frequency waves in a relaxing medium , 2021, Journal of Taibah University for Science.

[5]  D. Baleanu,et al.  Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation , 2021 .

[6]  Karim Ali,et al.  Conserved quantities along with Painlevé analysis and optical solitons for the nonlinear dynamics of Heisenberg ferromagnetic spin chains model , 2020 .

[7]  A. Seadawy,et al.  Dispersive of propagation wave structures to the dullin-Gottwald-Holm dynamical equation in a shallow water waves , 2020, Chinese Journal of Physics.

[8]  Yaolin Jiang,et al.  Dynamical behavior and exact solutions for time-fractional nonlinear Schrödinger equation with parabolic law nonlinearity , 2020 .

[9]  A. Seadawy,et al.  Chirp-free optical dromions for the presence of higher order spatio-temporal dispersions and absence of self-phase modulation in birefringent fibers , 2020 .

[10]  Hong-Cai Ma,et al.  New Periodic Wave, Cross-Kink Wave, Breather, and the Interaction Phenomenon for the (2 + 1)-Dimensional Sharmo-Tasso-Olver Equation , 2020, Complex..

[11]  Ji-Huan He.  Variational principle and periodic solution of the Kundu–Mukherjee–Naskar equation , 2020, Results in Physics.

[12]  Wenjun Liu,et al.  Interactions among solitons for a fifth-order variable coefficient nonlinear Schrödinger equation , 2020 .

[13]  Zhong-Zhou Lan,et al.  Soliton and breather solutions for a fifth-order variable-coefficient nonlinear Schrödinger equation in an optical fiber , 2020, Appl. Math. Lett..

[14]  D. Baleanu,et al.  Geometric phase for timelike spherical normal magnetic charged particles optical ferromagnetic model , 2020, Journal of Taibah University for Science.

[15]  H. M. Baskonus,et al.  Optical Soliton Solutions of the Cubic-Quartic Nonlinear Schrödinger and Resonant Nonlinear Schrödinger Equation with the Parabolic Law , 2019, Applied Sciences.

[16]  H. Rezazadeh,et al.  Explicit solutions of the (2 + 1)-dimensional Hirota–Maccari system arising in nonlinear optics , 2019 .

[17]  M. Bhatti,et al.  Hydroelastic solitary wave during the head-on collision process in a stratified fluid , 2019, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science.

[18]  Qian-Min Huang,et al.  Integrability and dark soliton solutions for a high-order variable coefficients nonlinear Schrödinger equation , 2019, Appl. Math. Lett..

[19]  Lei Hu,et al.  Bilinear forms, modulational instability and dark solitons for a fifth-order variable-coefficient nonlinear Schrödinger equation in an inhomogeneous optical fiber , 2019, Appl. Math. Comput..

[20]  D. Lu,et al.  Application of mathematical methods on the system of dynamical equations for the ion sound and Langmuir waves , 2019, Pramana.

[21]  Aly R. Seadawy,et al.  Applications of extended modified auxiliary equation mapping method for high-order dispersive extended nonlinear Schrödinger equation in nonlinear optics , 2019, Modern Physics Letters B.

[22]  D. Lu,et al.  M-shaped rational solitons and their interaction with kink waves in the Fokas–Lenells equation , 2019, Physica Scripta.

[23]  Muhammad Mubashir Bhatti,et al.  Analytical Study of the Head-On Collision Process between Hydroelastic Solitary Waves in the Presence of a Uniform Current , 2019, Symmetry.

[24]  Yuan Zhou,et al.  Lump and lump-soliton solutions to the Hirota-Satsuma-Ito equation , 2019, Commun. Nonlinear Sci. Numer. Simul..

[25]  D. Lu,et al.  Kinky breathers, W-shaped and multi-peak solitons interaction in (2 + 1)-dimensional nonlinear Schrödinger equation with Kerr law of nonlinearity , 2019, The European Physical Journal Plus.

[26]  M. M. Bhatti,et al.  An application of Nwogu’s Boussinesq model to analyze the head-on collision process between hydroelastic solitary waves , 2019, Open Physics.

[27]  Jian-Guo Liu,et al.  Lump-type solutions and interaction solutions for the (2+1)-dimensional generalized fifth-order KdV equation , 2018, Appl. Math. Lett..

[28]  B. Malomed,et al.  One-soliton shaping and two-soliton interaction in the fifth-order variable-coefficient nonlinear Schrödinger equation , 2018, Nonlinear Dynamics.

[29]  J. A. Tenreiro Machado,et al.  The generalized Kudryashov method for nonlinear space–time fractional partial differential equations of Burgers type , 2018, Nonlinear Dynamics.

[30]  Wen-Xiu Ma,et al.  Lump and lump-soliton solutions to the $$(2+1)$$(2+1)-dimensional Ito equation , 2018 .

[31]  Dipankar Kumar,et al.  The system of equations for the ion sound and Langmuir waves and its new exact solutions , 2018, Results in Physics.

[32]  E. Y. Bejarbaneh,et al.  New Exact Traveling Wave Solutions of the Unstable Nonlinear Schrödinger Equations , 2017 .

[33]  Alidou Mohamadou,et al.  Lump solutions and interaction phenomenon to the third-order nonlinear evolution equation , 2017 .

[34]  D. Lu,et al.  Exact bright-dark solitary wave solutions of the higher-order cubic-quintic nonlinear Schrödinger equation and its stability , 2017 .

[35]  Yi-Tian Gao,et al.  Bilinear forms and dark-soliton solutions for a fifth-order variable-coefficient nonlinear Schrödinger equation in an optical fiber , 2016 .

[36]  Aly R. Seadawy,et al.  Approximation solutions of derivative nonlinear Schrödinger equation with computational applications by variational method , 2015, The European Physical Journal Plus.

[37]  Lei Wang,et al.  Dynamical behaviors and soliton solutions of a generalized higher-order nonlinear Schrödinger equation in optical fibers , 2015 .

[38]  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.

[39]  Aly R. Seadawy,et al.  Variational method for the derivative nonlinear Schrödinger equation with computational applications , 2009 .

[40]  Boris A. Malomed,et al.  Soliton Management in Periodic Systems , 2006 .

[41]  A. H. Khater,et al.  General soliton solutions of an n-dimensional nonlinear Schrödinger equation , 2000 .

[42]  M. Kaplan,et al.  Symbolic computation and sensitivity analysis of nonlinear Kudryashov’s dynamical equation with applications , 2021, Physica Scripta.

[43]  A. Seadawy,et al.  Traveling wave solutions for the fractional Wazwaz–Benjamin–Bona–Mahony model in arising shallow water waves , 2021 .

[44]  Yulan Ma,et al.  Mixed lump and soliton solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation , 2020 .

[45]  M. Kaplan,et al.  Auto-Bäcklund transformations and solitary wave solutions for the nonlinear evolution equation , 2017 .

[46]  M. Kaplan,et al.  Multiple-soliton solutions and analytical solutions to a nonlinear evolution equation , 2017 .