On solutions of one of the second-order nonlinear differential equation: An in-depth look and critical review
暂无分享,去创建一个
[1] Wenjun Liu,et al. Cubic–quartic optical soliton perturbation with complex Ginzburg–Landau equation by the enhanced Kudryashov’s method , 2022, Chaos, Solitons & Fractals.
[2] A. Biswas,et al. Optical solitons of nonlinear Schrödi̇nger’s equation with arbitrary dual–power law parameters , 2022, Optik.
[3] N. Kudryashov. Stationary solitons of the generalized nonlinear Schrödinger equation with nonlinear dispersion and arbitrary refractive index , 2022, Appl. Math. Lett..
[4] C. M. Khalique,et al. Symmetry Methods and Conservation Laws for the Nonlinear Generalized 2D Equal-Width Partial Differential Equation of Engineering , 2021, Mathematics.
[5] Ghazala Akram,et al. Abundant soliton solutions for Radhakrishnan–Kundu–Laksmanan equation with Kerr law non-linearity by improved tanΦ(ξ)2-expansion technique , 2021 .
[6] N. Kudryashov. Implicit Solitary Waves for One of the Generalized Nonlinear Schrödinger Equations , 2021, Mathematics.
[7] Hammad Alotaibi,et al. Traveling Wave Solutions to the Nonlinear Evolution Equation Using Expansion Method and Addendum to Kudryashov's Method , 2021, Symmetry.
[8] Jun Wu,et al. Soliton solutions to the Fokas system arising in monomode optical fibers , 2021, Optik.
[9] Kangkang Wang. Abundant exact soliton solutions to the Fokas system , 2021, Optik.
[10] O. González-Gaxiola. Optical soliton solutions for Triki–Biswas equation by Kudryashov’s R function method , 2021, Optik.
[11] Kangkang Wang. Abundant analytical solutions to the new coupled Konno-Oono equation arising in magnetic field , 2021, Results in Physics.
[12] N. Kudryashov. Model of propagation pulses in an optical fiber with a new law of refractive indices , 2021, Optik.
[13] M. Khater. Diverse bistable dark novel explicit wave solutions of cubic–quintic nonlinear Helmholtz model , 2021, Modern Physics Letters B.
[14] H. Ahmed,et al. Dynamical solitons and other solutions for nonlinear Biswas–Milovic equation with Kudryashov’s law by improved modified extended tanh-function method , 2021 .
[15] M. Belić,et al. OPTICAL SOLITONS WITH KUDRYASHOV’S ARBITRARY FORM OF REFRACTIVE INDEX AND GENERALIZED NON–LOCAL NONLINEARITY , 2021 .
[16] Kangkang Wang. Periodic solution of the time-space fractional complex nonlinear Fokas-Lenells equation by an ancient Chinese algorithm , 2021 .
[17] Maria Sarfraz,et al. Multiple optical soliton solutions for CGL equation with Kerr law nonlinearity via extended modified auxiliary equation mapping method , 2021 .
[18] S. Demiray,et al. Soliton Solutions for space-time fractional Heisenberg ferromagnetic spin chain equation by generalized Kudryashov method and modified exp -expansion function method , 2021, Revista Mexicana de Física.
[19] Sekson Sirisubtawee,et al. Application of the Exp-Function and Generalized Kudryashov Methods for Obtaining New Exact Solutions of Certain Nonlinear Conformable Time Partial Integro-Differential Equations , 2021, Comput..
[20] M. Kaplan,et al. The analysis of the soliton-type solutions of conformable equations by using generalized Kudryashov method , 2021, Optical and Quantum Electronics.
[21] K. Gepreel,et al. Addendum to Kudryashov's method for finding solitons in magneto-optics waveguides to cubic-quartic NLSE with Kudryashov's sextic power law of refractive index , 2021, Optik.
[22] K. Gepreel,et al. Optical solitons for the perturbed Biswas-Milovic equation with Kudryashov's law of refractive index by the unified auxiliary equation method , 2021 .
[23] M. Akbar,et al. A study on the compatibility of the generalized Kudryashov method to determine wave solutions , 2021 .
[24] N. Kudryashov. Solitary waves of the non-local Schrödinger equation with arbitrary refractive index , 2021 .
[25] Nikolay A. Kudryashov,et al. The generalized Duffing oscillator , 2021, Commun. Nonlinear Sci. Numer. Simul..
[26] Abd-Allah Hyder. The influence of the differential conformable operators through modern exact solutions of the double Schrödinger-Boussinesq system , 2021, Physica Scripta.
[27] M. Kaplan,et al. Symbolic computation and sensitivity analysis of nonlinear Kudryashov’s dynamical equation with applications , 2021, Physica Scripta.
[28] Shorog Aljoudi,et al. Exact solutions of the fractional Sharma-Tasso-Olver equation and the fractional Bogoyavlenskii's breaking soliton equations , 2021, Appl. Math. Comput..
[29] Ghazala Akram,et al. Dark, singular, bright, rational and periodic solutions of the space–time fractional Fokas–Lenells equation by the Φ6-model expansion method , 2020 .
[30] N. Kudryashov. Mathematical model of propagation pulse in optical fiber with power nonlinearities , 2020 .
[31] Nikolai A. Kudryashov,et al. Solitary wave solutions of hierarchy with non-local nonlinearity , 2020, Appl. Math. Lett..
[32] Nikolai A. Kudryashov,et al. Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations , 2020, Appl. Math. Comput..
[33] N. Kudryashov. Method for finding highly dispersive optical solitons of nonlinear differential equations , 2020 .
[34] N. Kudryashov. A generalized model for description of propagation pulses in optical fiber , 2019, Optik.
[35] N. Kudryashov. General solution of the traveling wave reduction for the perturbed Chen-Lee-Liu equation , 2019, Optik.
[36] Nikolai A. Kudryashov,et al. Exact solutions of the equation for surface waves in a convecting fluid , 2019, Appl. Math. Comput..
[37] Nikolai A. Kudryashov,et al. Painlevé analysis and exact solutions of the Korteweg-de Vries equation with a source , 2015, Appl. Math. Lett..
[38] Nikolai A. Kudryashov,et al. Logistic function as solution of many nonlinear differential equations , 2014, 1409.6896.
[39] Nikolai A. Kudryashov,et al. A note on solutions of the generalized Fisher equation , 2014, Appl. Math. Lett..
[40] Nikolai A. Kudryashov,et al. Polynomials in logistic function and solitary waves of nonlinear differential equations , 2013, Appl. Math. Comput..
[41] Nikolai A. Kudryashov,et al. One method for finding exact solutions of nonlinear differential equations , 2011, 1108.3288.
[42] Anjan Biswas,et al. Dark optical solitons in power law media with time-dependent coefficients , 2009 .
[43] Nikolai A. Kudryashov,et al. Seven common errors in finding exact solutions of nonlinear differential equations , 2009, 1011.4268.
[44] A. Biswas. 1-soliton solution of the generalized Radhakrishnan, Kundu, Lakshmanan equation , 2009 .
[45] N. Kudryashov,et al. Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation , 2009 .
[46] Nikolai A. Kudryashov,et al. Be careful with the Exp-function method , 2009, 1011.4265.
[47] Anjan Biswas,et al. Solitary wave solution for the generalized Kawahara equation , 2009, Appl. Math. Lett..
[48] Anjan Biswas,et al. 1-soliton solution of (1 + 2)-dimensional nonlinear Schrödinger's equation in dual-power law media , 2008 .
[49] N. Kudryashov. Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation , 2008, 1112.5707.
[50] Nikolai A. Kudryashov,et al. Exact solitary waves of the Fisher equation , 2005 .
[51] N. Kudryashov. Simplest equation method to look for exact solutions of nonlinear differential equations , 2004, nlin/0406007.
[52] Zuntao Fu,et al. New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations , 2001 .
[53] Zuntao Fu,et al. JACOBI ELLIPTIC FUNCTION EXPANSION METHOD AND PERIODIC WAVE SOLUTIONS OF NONLINEAR WAVE EQUATIONS , 2001 .
[54] E. Fan,et al. Extended tanh-function method and its applications to nonlinear equations , 2000 .
[55] W. Hereman,et al. The tanh method: I. Exact solutions of nonlinear evolution and wave equations , 1996 .
[56] B. Duffy,et al. An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations , 1996 .
[57] N. A. Kudryashov,et al. Partial differential equations with solutions having movable first-order singularities , 1992 .
[58] Nikolai A. Kudryashov,et al. On types of nonlinear nonintegrable equations with exact solutions , 1991 .
[59] Nikolai A. Kudryashov,et al. Exact solutions of the generalized Kuramoto-Sivashinsky equation , 1990 .
[60] N. Kudryashov,et al. EXACT SOLITON SOLUTIONS OF THE GENERALIZED EVOLUTION EQUATION OF WAVE DYNAMICS , 1988 .