New optical solitons and modulation instability analysis of generalized coupled nonlinear Schrödinger–KdV system

[1]  T. Mathanaranjan.  Exact and explicit traveling wave solutions to the generalized Gardner and BBMB equations with dual high-order nonlinear terms , 2021, Partial Differential Equations in Applied Mathematics.

[2]  H. Rezazadeh,et al.  Optical solitons of nonlinear complex Ginzburg–Landau equation via two modified expansion schemes , 2021, Optical and Quantum Electronics.

[3]  F. S. Khodadad,et al.  Abundant optical solitons to the Sasa-Satsuma higher-order nonlinear Schrödinger equation , 2021, Optical and Quantum Electronics.

[4]  H. Rezazadeh,et al.  New kinds of analytical solitary wave solutions for ionic currents on microtubules equation via two different techniques , 2021, Optical and Quantum Electronics.

[5]  H. Rezazadeh,et al.  Solution of fractional-order Korteweg-de Vries and Burgers’ equations utilizing local meshless method , 2021, Journal of Ocean Engineering and Science.

[6]  K. Hosseini,et al.  A variety of solitons to the sixth-order dispersive (3+1)-dimensional nonlinear time-fractional Schrödinger equation with cubic-quintic-septic nonlinearities , 2021 .

[7]  H. Rezazadeh,et al.  Bifurcation of new optical solitary wave solutions for the nonlinear long-short wave interaction system via two improved models of $$(\frac{G'}{G})$$ expansion method , 2021, Optical and Quantum Electronics.

[8]  M. Osman,et al.  Analytical and approximate solutions of nonlinear Schrödinger equation with higher dimension in the anomalous dispersion regime , 2021, Journal of Ocean Engineering and Science.

[9]  T. Mathanaranjan.  Soliton Solutions of Deformed Nonlinear Schrödinger Equations Using Ansatz Method , 2021, International Journal of Applied and Computational Mathematics.

[10]  Jingli Ren,et al.  Dynamics of exact soliton solutions in the double‐chain model of deoxyribonucleic acid , 2021, Mathematical Methods in the Applied Sciences.

[11]  L. Akinyemi,et al.  The optical soliton solutions of generalized coupled nonlinear Schrödinger-Korteweg-de Vries equations , 2021, Optical and Quantum Electronics.

[12]  Olaniyi Samuel Iyiola,et al.  Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method , 2021, Math. Comput. Simul..

[13]  E. Az-Zo’bi,et al.  Novel soliton solutions of the generalized (3+1)-dimensional conformable KP and KP–BBM equations , 2021 .

[14]  M. Eslami,et al.  Optical solitons for weakly nonlocal Schrödinger equation with parabolic law nonlinearity and external potential , 2021 .

[15]  Thilagarajah Mathanaranjan,et al.  Laplace Decomposition Method for Time-Fractional Fornberg-Whitham Type Equations , 2021, Journal of Applied Mathematics and Physics.

[16]  T. Mathanaranjan.  Solitary wave solutions of the Camassa–Holm-Nonlinear Schrödinger Equation , 2020 .

[17]  M. Eslami,et al.  Generalized logistic equation method for Kerr law and dual power law Schrödinger equations , 2020, Optical and Quantum Electronics.

[18]  El-Sayed M. Sherif,et al.  Optical Solutions of Schrödinger Equation Using Extended Sinh–Gordon Equation Expansion Method , 2020, Frontiers in Physics.

[19]  Jia-ling Wang,et al.  Existence and bifurcation of nontrivial solutions for the coupled nonlinear Schrödinger–Korteweg–de Vries system , 2020 .

[20]  T. Mathanaranjan,et al.  Analytical solutions of the time-fractional non-linear Schrodinger equation with zero and non zero trapping potential through the Sumudu decomposition method , 2019 .

[21]  Olaniyi S. Iyiola,et al.  Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential , 2019, Advances in Difference Equations.

[22]  Shou‐Fu Tian,et al.  Modulation instability analysis and soliton solutions of an integrable coupled nonlinear Schrödinger system , 2018, Nonlinear Dynamics.

[23]  Dipankar Kumar,et al.  New closed form soliton and other solutions of the Kundu-Eckhaus equation via the extended sinh-Gordon equation expansion method , 2018 .

[24]  Abdul-Ghani Al-Nowehy,et al.  The solitary wave ansatz method for finding the exact bright and dark soliton solutions of two nonlinear Schrödinger equations , 2017 .

[25]  Hadi Rezazadeh,et al.  The first integral method for Wu–Zhang system with conformable time-fractional derivative , 2016 .

[26]  A. Bekir,et al.  Optical soliton solutions of nonlinear evolution equations using ansatz method , 2016 .

[27]  M. Eslami,et al.  The first integral method for Wu–Zhang system with conformable time-fractional derivative , 2015, Calcolo.

[28]  E. Colorado.  On the existence of bound and ground states for some coupled nonlinear Schrödinger–Korteweg–de Vries equations , 2014, 1411.7283.

[29]  E. Colorado.  Existence of Bound and Ground States for a System of Coupled Nonlinear Schr\"odinger-KdV Equations , 2014, 1410.7638.

[30]  J. Albert,et al.  Existence and Stability of a Two-Parameter Family of Solitary Waves for an NLS-KdV System , 2012, Advances in Differential Equations.

[31]  J. Dias,et al.  Well-posedness and existence of bound states for a coupled Schrödinger-gKdV system , 2010 .

[32]  Khaled A. Gepreel,et al.  The (G′/G)-expansion method for finding traveling wave solutions of nonlinear partial differential equations in mathematical physics , 2009 .

[33]  F. Linares,et al.  Well-posedness for the Schrödinger-Korteweg-de Vries system , 2007 .

[34]  Abdul-Majid Wazwaz,et al.  The extended tanh method for abundant solitary wave solutions of nonlinear wave equations , 2007, Appl. Math. Comput..

[35]  J. Pava.  STABILITY OF SOLITARY WAVE SOLUTIONS FOR EQUATIONS OF SHORT AND LONG DISPERSIVE WAVES , 2006 .

[36]  J. Pava,et al.  Existence and Stability of Ground-state Solutions of a Schrödinger-kdv System , 2022 .

[37]  Nobumasa Sugimoto,et al.  Nonlinear Interaction between Short and Long Capillary-Gravity Waves , 1975 .