×

zbMATH — the first resource for mathematics

N1-soliton solution for Schrödinger equation with competing weakly nonlocal and parabolic law nonlinearities. (English) Zbl 1451.35047
MSC:
35C08 Soliton solutions
35Q55 NLS equations (nonlinear Schrödinger equations)
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Wang G, Mirzazadeh M, Yao M and Zhou Q 2016 Optical solitons under competing weakly nonlocal nonlinearity and cubic-quintic nonlinearities Optoelectron. Adv. Mater. Rapid Commun.10 807-10
[2] Mirzazadeh M, Eslami M, Savescu M, Bhrawy A H, Alshaery A A, Hilal E M and Biswas A 2015 Optical solitons in DWDM system with spatio-temporal dispersion J. Nonlinear Opt. Phys. Mater.24 1550006
[3] Zhou Q, Liu L, Zhang H, Mirzazadeh M, Bhrawy A H, Zerrad E, Moshokoa S and Biswas A 2016 Dark and singular optical solitons with competing nonlocal nonlinearities Opt. Appl.46 79-86
[4] Yang C, Zhou Q, Triki H, Mirzazadeh M, Ekici M, Liu W J, Biswas A and Belic M 2019 Bright soliton interactions in a (2+1) -dimensional fourth-order variable-coefficient nonlinear Schrödinger equation for the Heisenberg ferromagnetic spin chain Nonlinear Dyn.95 983-94
[5] Rezazadeh H, Seadawy A R, Eslami M and Mirzazadeh M 2019 Generalized solitary wave solutions to the time fractional generalized Hirota-Satsuma coupled KdV via new definition for wave transformation J. Ocean Eng. Sci.4 77-84
[6] Hosseini K, Osman M S, Mirzazadeh M and Rabiei F 2020 Investigation of different wave structures to the generalized third-order nonlinear Schrödinger equation Optik206 164259
[7] Liu X, Triki H, Zhou Q, Mirzazadeh M, Liu W, Biswas A and Belic M 2019 Generation and control of multiple solitons under the influence of parameters Nonlinear Dyn.95 143-50
[8] Liu S, Zhou Q, Biswas A and Liu W 2019 Phase-shift controlling of three solitons in dispersion-decreasing fibers Nonlinear Dyn.98 395-401 · Zbl 1430.78006
[9] Liu W, Zhang Y, Wazwaz A M and Zhou Q 2019 Analytic study on triple-S, triple-triangle structure interactions for solitons in inhomogeneous multi-mode fiber Appl. Math. Comput.361 325-31 · Zbl 1428.81079
[10] Guan X, Liu W, Zhou Q and Biswas A 2020 Some lump solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation Appl. Math. Comput.366 124757 · Zbl 1433.35338
[11] Yan Y and Liu W 2019 Stable transmission of solitons in the complex cubic-quintic Ginzburg-Landau equation with nonlinear gain and higher-order effects Appl. Math. Lett.98 171-6 · Zbl 1426.35068
[12] Attia R A, Lu D, Ak T and Khater M M 2020 Optical wave solutions of the higher-order nonlinear Schrödinger equation with the non-Kerr nonlinear term via modified Khater method Mod. Phys. Lett. B 34 2050044
[13] Khater M M, Attia R A, Abdel-Aty A H, Abdou M A, Eleuch H and Lu D 2020 Analytical and semi-analytical ample solutions of the higher-order nonlinear Schrödinger equation with the non-Kerr nonlinear term Results Phys.16 103000
[14] Qian L, Attia R A, Qiu Y, Lu D and Khater M M 2019 The shock peakon wave solutions of the general Degasperis-Procesi equation Int. J. Mod. Phys. B 33 1950351
[15] Rezazadeh H, Korkmaz A, Khater M M, Eslami M, Lu D and Attia R A 2019 New exact traveling wave solutions of biological population model via the extended rational sinh-cosh method and the modified Khater method Mod. Phys. Lett. B 33 1950338
[16] Sulaiman T A 2020 Three-component coupled nonlinear Schrödinger equation: optical soliton and modulation instability analysis Phys. Scr.95 065201
[17] Sulaiman T A and Bulut H 2020 Optical solitons and modulation instability analysis of the (1+1)-dimensional coupled nonlinear Schrödinger equation Commun. Theor. Phys.72 025003
[18] Sulaiman T A, Bulut H, Yokus A and Baskonus H M 2019 On the exact and numerical solutions to the coupled Boussinesq equation arising in ocean engineering Indian J. Phys.93 647-56
[19] Yokus A, Sulaiman T A and Bulut H 2018 On the analytical and numerical solutions of the Benjamin-Bona-Mahony equation Opt. Quantum Electron.50 31
[20] Yokus A, Sulaiman T A, Baskonus H M and Atmaca S P 2018 On the exact and numerical solutions to a nonlinear model arising in mathematical biology ITM Web of Conferences22 01061
[21] Kaya D, Gülbahar S, Yokuş A and Gülbahar M 2018 Solutions of the fractional combined KdV-mKdV equation with collocation method using radial basis function and their geometrical obstructions Adv. Differ. Equ.2018 77 · Zbl 1445.65033
[22] Ali K K, Rezazadeh H, Talarposhti R A and Bekir A 2020 New soliton solutions for resonant nonlinear Schrödinger’s equation having full nonlinearity Int. J. Mod. Phys. B 34 2050032
[23] Seadawy A R, Ali K K and Nuruddeen R I 2019 A variety of soliton solutions for the fractional Wazwaz-Benjamin-Bona-Mahony equations Results Phys.12 2234-41
[24] Ali K K, Nuruddeen R I and Hadhoud A R 2018 New exact solitary wave solutions for the extended (3.1)-dimensional Jimbo-Miwa equations Results Phys.9 12-6
[25] Souleymanou A, Ali K K, Rezazadeh H, Eslami M, Mirzazadeh M and Korkmaz A 2019 The propagation of waves in thin-film ferroelectric materials Pramana93 27
[26] Miah M M, Ali H S, Akbar M A and Seadawy A R 2019 New applications of the two variable (G’/G, 1/G)-expansion method for closed form traveling wave solutions of integro-differential equations J. Ocean Eng. Sci.4 132-43
[27] Miah M M, Seadawy A R, Ali H S and Akbar M A 2019 Further investigations to extract abundant new exact traveling wave solutions of some NLEEs J. Ocean Eng. Sci.4 387-94
[28] Miah M M, Ali H S, Akbar M A and Wazwaz A M 2017 Some applications of the (G’/G, 1/G)-expansion method to find new exact solutions of NLEEs Eur. Phys. J. Plus132 252
[29] Habib M A, Ali H S, Miah M M and Akbar M A 2019 The generalized Kudryashov method for new closed form traveling wave solutions to some NLEEs AIMS Math.4 896
[30] Rezazadeh H, Korkmaz A, Eslami M and Mirhosseini-Alizamini S M 2019 A large family of optical solutions to Kundu-Eckhaus model by a new auxiliary equation method Opt. Quantum Electron.51 84
[31] Raza N, Aslam M R and Rezazadeh H 2019 Analytical study of resonant optical solitons with variable coefficients in Kerr and non-Kerr law media Opt. Quantum Electron.51 59
[32] Shehata M S, Rezazadeh H, Zahran E H, Tala-Tebue E and Bekir A 2019 New optical soliton solutions of the perturbed Fokas-Lenells equation Commun. Theor. Phys.71 1275
[33] Malfliet W and Hereman W 1996 The tanh method: I. Exact solutions of nonlinear evolution and wave equations Phys. Scr.54 563 · Zbl 0942.35034
[34] Fan E 2000 Extended tanh-function method and its applications to nonlinear equations Phys. Lett. A 277 212-8 · Zbl 1167.35331
[35] Fan E and Hona Y C 2002 Generalized tanh method extended to special types of nonlinear equations Z. Naturforsch. A 57 692-700
[36] Raslan K R, El-Danaf T S and Ali K K 2017 Exact solution of the space-time fractional coupled EW and coupled MEW equations Eur. Phys. J. Plus132 319 · Zbl 1370.35269
[37] Korkmaz A 2017 Exact solutions to (3 + 1) conformable time fractional Jimbo-Miwa, Zakharov-Kuznetsov and modified Zakharov-Kuznetsov equations Commun. Theor. Phys.67 479 · Zbl 1365.35208
[38] Korkmaz A and Hosseini K 2017 Exact solutions of a nonlinear conformable time-fractional parabolic equation with exponential nonlinearity using reliable methods Opt. Quantum Electron.49 278
[39] Zheng B 2015 Exact solutions for fractional partial differential equations by projective Riccati equation method UPB Sci. Bull. Ser. A 77 99-108 · Zbl 1349.35416
[40] Yong C and Biao L 2004 New exact travelling wave solutions for generalized zakharov-kuzentsov equations using general projective riccati equation method Commun. Theor. Phys.41 1 · Zbl 1167.35459
[41] Hafez M G, Alam M N and Akbar M A 2014 Exact traveling wave solutions to the Klein-Gordon equation using the novel (G’/G)-expansion method Results Phys.4 177-84
[42] Lu D, Seadawy A R and Khater M M 2018 Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system Adv. Differ. Equ.2018 266 · Zbl 1446.35165
[43] Seadawy A R, Lu D and Khater M M 2017 New wave solutions for the fractional-order biological population model, time fractional burgers, Drinfel’d-Sokolov-Wilson and system of shallow water wave equations and their applications Eur. J. Comput. Mech.26 508-24
[44] Al-Amr M O and El-Ganaini S 2017 New exact traveling wave solutions of the (4.1)-dimensional Fokas equation Comput. Math. Appl.74 1274-87 · Zbl 1394.35396
[45] Akter J and Akbar M A 2015 Exact solutions to the Benney-Luke equation and the Phi-4 equations by using modified simple equation method Results Phys.5 125-30
[46] Al-Amr M O 2015 Exact solutions of the generalized (2+1)-dimensional nonlinear evolution equations via the modified simple equation method Comput. Math. Appl.69 390-7
[47] El-Ganaini S and Al-Amr M O 2019 New abundant wave solutions of the conformable space-time fractional (4+1)-dimensional Fokas equation in water waves Comput. Math. Appl.78 2094-106
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.