Study of dissipative NLSE for dark and bright, multiwave, breather and M-shaped solitons along with some interactions in monochromatic waves
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[1] Songhe Song,et al. High-Order Linearly Implicit Structure-Preserving Exponential Integrators for the Nonlinear Schrödinger Equation , 2021, J. Sci. Comput..
[2] Guo‐Dong Wang,et al. Variational theory and new abundant solutions to the (1+2)-dimensional chiral nonlinear Schrödinger equation in optics , 2021 .
[3] Wenjun Liu,et al. Soliton fusion and fission for the high-order coupled nonlinear Schrödinger system in fiber lasers , 2021, Chinese Physics B.
[4] Wenjun Liu,et al. The dynamic characteristics of pure-quartic solitons and soliton molecules , 2021, Applied Mathematical Modelling.
[5] Liming Ling,et al. Data-driven vector soliton solutions of coupled nonlinear Schrödinger equation using a deep learning algorithm , 2021, Physics Letters A.
[6] Wenjun Liu,et al. Soliton interaction control through dispersion and nonlinear effects for the fifth-order nonlinear Schrödinger equation , 2021, Nonlinear Dynamics.
[7] Wenjun Liu,et al. Stable transmission characteristics of double-hump solitons for the coupled Manakov equations in fiber lasers , 2021, Nonlinear Dynamics.
[8] K. U. Tariq,et al. On some novel optical wave solutions to the paraxial M-fractional nonlinear Schrödinger dynamical equation , 2021, Optical and Quantum Electronics.
[9] M. Younis,et al. Investigation of optical solitons with Chen–Lee–Liu equation of monomode fibers by five free parameters , 2021, Indian Journal of Physics.
[10] A. Seadawy,et al. Conservation laws, optical molecules, modulation instability and Painlevé analysis for the Chen–Lee–Liu model , 2021, Optical and Quantum Electronics.
[11] N. Kudryashov. Optical solitons of the resonant nonlinear Schrödinger equation with arbitrary index , 2021 .
[12] A. Seadawy,et al. Analytical mathematical approaches for the double-chain model of DNA by a novel computational technique , 2021 .
[13] N. Kudryashov. Almost general solution of the reduced higher-order nonlinear Schrödinger equation , 2021 .
[14] Wenjun Liu,et al. Effects of dispersion terms on optical soliton propagation in a lossy fiber system , 2021, Nonlinear Dynamics.
[15] Samy F. Mahmoud,et al. Analytical wave structures in plasma physics modelled by Gilson-Pickering equation by two integration norms , 2021 .
[16] S. Réhman,et al. Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation , 2021 .
[17] D. Baleanu,et al. Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation , 2021 .
[18] T. Cazenave,et al. Asymptotic behavior for a dissipative nonlinear Schrödinger equation , 2020, 2007.13697.
[19] W. Liu 刘,et al. Soliton Rectangular Pulses and Bound States in a Dissipative System Modeled by the Variable-Coefficients Complex Cubic-Quintic Ginzburg–Landau Equation , 2021, Chinese Physics Letters.
[20] J. López,et al. A quantum approach to Keller-Segel dynamics via a dissipative nonlinear Schrödinger equation , 2021, Discrete & Continuous Dynamical Systems.
[21] Karim Ali,et al. Conserved quantities along with Painlevé analysis and optical solitons for the nonlinear dynamics of Heisenberg ferromagnetic spin chains model , 2020 .
[22] A. Seadawy,et al. Dispersive of propagation wave solutions to unidirectional shallow water wave Dullin–Gottwald–Holm system and modulation instability analysis , 2020, Mathematical Methods in the Applied Sciences.
[23] D. Lu,et al. The weakly nonlinear wave propagation of the generalized third-order nonlinear Schrödinger equation and its applications , 2020, Waves in Random and Complex Media.
[24] Wenjun Liu,et al. Periodic soliton interactions for higher-order nonlinear Schrödinger equation in optical fibers , 2020 .
[25] D. Lu,et al. Propagation of kink and anti-kink wave solitons for the nonlinear damped modified Korteweg–de Vries equation arising in ion-acoustic wave in an unmagnetized collisional dusty plasma , 2020 .
[26] H. Brand,et al. Dissipative soliton stabilization by several nonlinear gradient terms. , 2020, Chaos.
[27] Aly R. Seadawy,et al. Numerical solution of Korteweg–de Vries-Burgers equation by the modified variational iteration algorithm-II arising in shallow water waves , 2020, Physica Scripta.
[28] A. Wazwaz,et al. Novel high‐order breathers and rogue waves in the Boussinesq equation via determinants , 2019, Mathematical Methods in the Applied Sciences.
[29] Aly R. Seadawy,et al. Analytical wave solutions of the (2 + 1)-dimensional first integro-differential Kadomtsev-Petviashivili hierarchy equation by using modified mathematical methods , 2019 .
[30] J. Cisternas,et al. Mechanism of dissipative soliton stabilization by nonlinear gradient terms. , 2019, Physical review. E.
[31] D. Lu,et al. Application of mathematical methods on the system of dynamical equations for the ion sound and Langmuir waves , 2019, Pramana.
[32] D. Lu,et al. M-shaped rational solitons and their interaction with kink waves in the Fokas–Lenells equation , 2019, Physica Scripta.
[33] 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.
[34] Aly R. Seadawy,et al. Two-dimensional interaction of a shear flow with a free surface in a stratified fluid and its solitary-wave solutions via mathematical methods , 2017 .
[35] A. Seadawy. The generalized nonlinear higher order of KdV equations from the higher order nonlinear Schrödinger equation and its solutions , 2017 .
[36] C. Bayındır. Analytical and numerical aspects of the dissipative nonlinear Schrodinger equation , 2016 .
[37] Hongwei Yang,et al. Dissipative Nonlinear Schrödinger Equation for Envelope Solitary Rossby Waves with Dissipation Effect in Stratified Fluids and Its Solution , 2014 .
[38] N. Taghizadeh,et al. Exact solutions of the nonlinear Schrödinger equation by the first integral method , 2011 .
[39] L. Gelens,et al. High-order dispersion stabilizes dark dissipative solitons in all-fiber cavities. , 2010, Optics letters.
[40] Hilmi Demiray,et al. An analytical solution to the dissipative nonlinear Schrödinger equation , 2003, Appl. Math. Comput..
[41] N. Hayashi,et al. Large-time behaviour of solutions to the dissipative nonlinear Schrödinger equation , 2000, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[42] B. Malomed,et al. Bound states of dark solitons in the quintic Ginzburg-Landau equation , 1998 .
[43] Akira Hasegawa,et al. Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion , 1973 .