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Modulation instability analysis for the generalized derivative higher order nonlinear Schrödinger equation and its the bright and dark soliton solutions

Pages 1353-1362 | Received 11 Mar 2017, Accepted 24 Apr 2017, Published online: 14 Jul 2017

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Tukur Abdulkadir Sulaiman, Gulnur Yel & Hasan Bulut. (2019) M-fractional solitons and periodic wave solutions to the Hirota–Maccari system. Modern Physics Letters B 33:05, pages 1950052.
Crossref
Abdullah, Aly R. Seadawy & Jun Wang. (2018) Three-Dimensional Nonlinear Extended Zakharov-Kuznetsov Dynamical Equation in a Magnetized Dusty Plasma via Acoustic Solitary Wave Solutions. Brazilian Journal of Physics 49:1, pages 67-78.
Crossref
Iftikhar Ahmed, Aly R. Seadawy & Dianchen Lu. (2019) Combined multi-waves rational solutions for complex Ginzburg–Landau equation with Kerr law of nonlinearity. Modern Physics Letters A 34:03, pages 1950019.
Crossref
Samia Bushnaq, Sajjad Ali, Kamal Shah & Muhammad Arif. (2019) Approximate solutions to nonlinear factional order partial differential equations arising in ion-acoustic waves. AIMS Mathematics 4:3, pages 721-739.
Crossref
E. Tala-Tebue, Z. I. Djoufack, S. B. Yamgoue, A. Kenfack-Jiotsa & T. C. Kofané. (2018) Chirped soliton solutions in optical medium. Optical and Quantum Electronics 51:1.
Crossref
Haci Mehmet Baskonus. 2019. Mathematical Modelling, Applied Analysis and Computation. Mathematical Modelling, Applied Analysis and Computation 229 242 .
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2018) Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation. Nonlinear Analysis: Modelling and Control 24:1, pages 20-33.
Crossref
Mujahid Iqbal, Aly R. Seadawy & Dianchen Lu. (2018) Dispersive solitary wave solutions of nonlinear further modified Korteweg–de Vries dynamical equation in an unmagnetized dusty plasma. Modern Physics Letters A 33:37, pages 1850217.
Crossref
Asghar Ali, Aly R. Seadawy & Dianchen Lu. (2018) Dispersive analytical soliton solutions of some nonlinear waves dynamical models via modified mathematical methods. Advances in Difference Equations 2018:1.
Crossref
Dianchen Lu, Aly R. Seadawy & Mostafa M. A. Khater. (2018) Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system. Advances in Difference Equations 2018:1.
Crossref
Asghar Ali, Aly R. Seadawy & Dianchen Lu. (2018) New solitary wave solutions of some nonlinear models and their applications. Advances in Difference Equations 2018:1.
Crossref
Nadia Cheemaa, Aly R. Seadawy & Sheng Chen. (2018) More general families of exact solitary wave solutions of the nonlinear Schrödinger equation with their applications in nonlinear optics. The European Physical Journal Plus 133:12.
Crossref
Dianchen Lu, Aly R. Seadawy & Mujahid Iqbal. (2018) Mathematical methods via construction of traveling and solitary wave solutions of three coupled system of nonlinear partial differential equations and their applications. Results in Physics 11, pages 1161-1171.
Crossref
E. Tala-Tebue & Aly R. Seadawy. (2018) Construction of dispersive optical solutions of the resonant nonlinear Schrödinger equation using two different methods. Modern Physics Letters B 32:33, pages 1850407.
Crossref
Aly R. Seadawy, Asghar Ali & Dianchen Lu. (2018) Applications of modified mathematical method on some nonlinear water wave dynamical models. Modern Physics Letters A 33:35, pages 1850204.
Crossref
Le Xin, Ying Kong & Lijia Han. (2018) Solutions of solitary-wave for the variable-coefficient nonlinear Schrödinger equation with two power-law nonlinear terms. International Journal of Modern Physics B 32:28, pages 1850310.
Crossref
Hasan Bulut, Tukur Abdulkadir Sulaiman, Haci Mehmet Baskonus, Hadi Rezazadeh, Mostafa Eslami & Mohammad Mirzazadeh. (2018) Optical solitons and other solutions to the conformable space–time fractional Fokas–Lenells equation. Optik 172, pages 20-27.
Crossref
Kalim U Tariq, Aly R Seadawy & Sultan Z Alamri. (2018) Computational soliton solutions to $$(3+1)$$ ( 3 + 1 ) -dimensional generalised Kadomtsev–Petviashvili and $$(2+1)$$ ( 2 + 1 ) -dimensional Gardner–Kadomtsev–Petviashvili models and their applications. Pramana 91:5.
Crossref
M. Arshad, Aly R. Seadawy & Dianchen Lu. (2017) Optical soliton solutions of the generalized higher-order nonlinear Schrödinger equations and their applications. Optical and Quantum Electronics 50:11.
Crossref
Mujahid Iqbal, Aly R. seadawy & Dianchen Lu. (2018) Construction of solitary wave solutions to the nonlinear modified Kortewege-de Vries dynamical equation in unmagnetized plasma via mathematical methods. Modern Physics Letters A 33:32, pages 1850183.
Crossref
Ding Guo & Shou-Fu Tian. (2018) Stability analysis, soliton waves, rogue waves and interaction phenomena for the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation. Modern Physics Letters B 32:28, pages 1850345.
Crossref
Dipankar Kumar, Aly R. Seadawy & Md. Rabiul Haque. (2018) Multiple soliton solutions of the nonlinear partial differential equations describing the wave propagation in nonlinear low–pass electrical transmission lines. Chaos, Solitons & Fractals 115, pages 62-76.
Crossref
E. Tala-Tebue, Aly R. Seadawy & Z. I. Djoufack. (2018) The modify unstable nonlinear Schrödinger dynamical equation and its optical soliton solutions. Optical and Quantum Electronics 50:10.
Crossref
Tukur Abdulkadir Sulaiman, Hasan Bulut, Gulnur Yel & Sibel Sehriban Atas. (2018) Optical solitons to the fractional perturbed Radhakrishnan–Kundu–Lakshmanan model. Optical and Quantum Electronics 50:10.
Crossref
Dianchen Lu, Aly R. Seadawy & Muhammad Arshad. (2018) Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrödinger-KdV dynamical models. Results in Physics 10, pages 995-1005.
Crossref
E. Celik, H. Bulut & H. M. Baskonus. (2018) Novel features of the nonlinear model arising in nano-ionic currents throughout microtubules. Indian Journal of Physics 92:9, pages 1137-1143.
Crossref
Aly R. Seadawy, Dianchen Lu & Mostafa M. A. Khater. (2018) Structure of optical soliton solutions for the generalized higher-order nonlinear Schrödinger equation with light-wave promulgation in an optical fiber. Optical and Quantum Electronics 50:9.
Crossref
Abdullah, Aly R. Seadawy & Jun Wang. (2018) Stability analysis and applications of traveling wave solutions of three-dimensional nonlinear modified Zakharov–Kuznetsov equation in a magnetized plasma. Modern Physics Letters A 33:25, pages 1850145.
Crossref
E. Tala-Tebue, Aly R. Seadawy, P. H. Kamdoum-Tamo & Dianchen Lu. (2018) Dispersive optical soliton solutions of the higher-order nonlinear Schrödinger dynamical equation via two different methods and its applications. The European Physical Journal Plus 133:7.
Crossref
Weitian Yu, Mehmet Ekici, Mohammad Mirzazadeh, Qin Zhou & Wenjun Liu. (2018) Periodic oscillations of dark solitons in nonlinear optics. Optik 165, pages 341-344.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2018) On the classification of conservation laws and soliton solutions of the long short-wave interaction system. Modern Physics Letters B 32:18, pages 1850202.
Crossref
Aly R. Seadawy, Dian-Chen Lu & Muhammad Arshad. (2018) Stability Analysis of Solitary Wave Solutions for Coupled and (2+1)-Dimensional Cubic Klein-Gordon Equations and Their Applications. Communications in Theoretical Physics 69:6, pages 676.
Crossref
Dianchen Lu, Aly R. Seadawy & Asghar Ali. (2018) Applications of exact traveling wave solutions of Modified Liouville and the Symmetric Regularized Long Wave equations via two new techniques. Results in Physics 9, pages 1403-1410.
Crossref
Hasan Bulut, Tukur Abdulkadir Sulaiman & Haci Mehmet Baskonus. (2018) Dark, bright optical and other solitons with conformable space-time fractional second-order spatiotemporal dispersion. Optik 163, pages 1-7.
Crossref
Haci Mehmet Baskonus, Tukur Abdulkadir Sulaiman & Hasan Bulut. (2018) Bright, dark optical and other solitons to the generalized higher-order NLSE in optical fibers. Optical and Quantum Electronics 50:6.
Crossref
Aly R. Seadawy, Dipankar Kumar & Anuz Kumar Chakrabarty. (2018) Dispersive optical soliton solutions for the hyperbolic and cubic-quintic nonlinear Schrödinger equations via the extended sinh-Gordon equation expansion method. The European Physical Journal Plus 133:5.
Crossref
Muhammad Nasir Ali, Aly R. Seadawy, Syed Muhammad Husnine & Kalim U. Tariq. (2018) Optical pulse propagation in monomode fibers with higher order nonlinear Schrödinger equation. Optik 156, pages 356-364.
Crossref
Mostafa M. A. Khater, Aly R. Seadawy & Dianchen Lu. (2018) Optical soliton and bright–dark solitary wave solutions of nonlinear complex Kundu–Eckhaus dynamical equation of the ultra-short femtosecond pulses in an optical fiber. Optical and Quantum Electronics 50:3.
Crossref
Hasan Bulut, Tukur Abdulkadir Sulaiman, Haci Mehmet Baskonus & Tolga Aktürk. (2018) On the bright and singular optical solitons to the ( $$2+1$$ 2 + 1 )-dimensional NLS and the Hirota equations. Optical and Quantum Electronics 50:3.
Crossref
Kalim U. Tariq & Aly R. Seadawy. (2018) Optical soliton solutions of higher order nonlinear Schrödinger equation in monomode fibers and its applications. Optik 154, pages 785-798.
Crossref
Dipankar Kumar, Aly R. Seadawy & Raju Chowdhury. (2018) On new complex soliton structures of the nonlinear partial differential equation describing the pulse narrowing nonlinear transmission lines. Optical and Quantum Electronics 50:2.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2018) Novel optical solitary waves and modulation instability analysis for the coupled nonlinear Schrödinger equation in monomode step-index optical fibers. Superlattices and Microstructures 113, pages 745-753.
Crossref
Mostafa M.A. Khater, Aly R. Seadawy & Dianchen Lu. (2018) Dispersive optical soliton solutions for higher order nonlinear Sasa-Satsuma equation in mono mode fibers via new auxiliary equation method. Superlattices and Microstructures 113, pages 346-358.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2018) Dispersive optical solitons and modulation instability analysis of Schrödinger-Hirota equation with spatio-temporal dispersion and Kerr law nonlinearity. Superlattices and Microstructures 113, pages 319-327.
Crossref
Dianchen Lu, Aly R. Seadawy & M. Arshad. (2017) Bright–dark solitary wave and elliptic function solutions of unstable nonlinear Schrödinger equation and their applications. Optical and Quantum Electronics 50:1.
Crossref
Ali Jaradat, Mohd Salmi Md Noorani, Marwan Alquran & Husein M Jaradat. (2017) Construction and solitary wave solutions of two-mode higher-order Boussinesq-Burger system. Advances in Difference Equations 2017:1.
Crossref
K. Hosseini, D. Kumar, M. Kaplan & E. Yazdani Bejarbaneh. (2017) New Exact Traveling Wave Solutions of the Unstable Nonlinear Schrödinger Equations. Communications in Theoretical Physics 68:6, pages 761.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2017) Optical solitons and modulation instability analysis of an integrable model of (2+1)-Dimensional Heisenberg ferromagnetic spin chain equation. Superlattices and Microstructures 112, pages 628-638.
Crossref
Muhammad Arshad, Aly R. Seadawy & Dianchen Lu. (2017) Modulation stability and optical soliton solutions of nonlinear Schrödinger equation with higher order dispersion and nonlinear terms and its applications. Superlattices and Microstructures 112, pages 422-434.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2017) Optical solitons and modulation instability analysis with (3 + 1)-dimensional nonlinear Shrödinger equation. Superlattices and Microstructures 112, pages 296-302.
Crossref
Abdullah, Aly R. Seadawy & Wang Jun. (2017) Mathematical methods and solitary wave solutions of three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma and its applications. Results in Physics 7, pages 4269-4277.
Crossref
Muhammad Arshad, Aly R. Seadawy, Dianchen Lu & Wang Jun. (2017) Modulation instability analysis of modify unstable nonlinear schrodinger dynamical equation and its optical soliton solutions. Results in Physics 7, pages 4153-4161.
Crossref

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