[1]
Wazwaz A.M., Compact and noncompact physical structures for the ZK-BBM equation, Appl. Math. Comput. 2005, 169, 713-725. Google Scholar
[2]
Wazwaz A.M., The extended tanh method for new compact and noncompact solutions for the KP–BBM and the ZK–BBM equations, Chaos Solitons Fractals, 2008, 38, 1505–1516. CrossrefGoogle Scholar
[3]
Abdou M.A., Exact periodic wave solutions to some nonlinear evolution equations, Int. J. Nonlinear Sci., 2008, 6, 145-153. Google Scholar
[4]
Mahmoudi J., Tolou N., Khatami I., Barari A., Ganji D.D., Explicit solution of nonlinear ZK-BBM wave equation using exp-function method, J. Appl. Sci., 2008, 8, 358-363. CrossrefGoogle Scholar
[5]
Wang Z.J., Tang S.Q., Bifurcation of travelling wave solutions for the generalized ZK-BBM equations, Commun. Nonlinear Sci. Numer. Simul., 2009, 14, 2948-2955. CrossrefGoogle Scholar
[6]
Song M., Yang C.X., Exact traveling wave solutions of the Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation, Appl. Math. Comput., 2010, 216, 3234-3243. Google Scholar
[7]
Camassa R., Holm D.D., An integrable shallow water equation with peaked Solitons, Physical Review Letters, 1993, 71, 1661-1664. CrossrefGoogle Scholar
[8]
Cooper F., Shepard H., Solitons in the Camassa-Holm shallow water equation, Physics Letters A, 1994, 194, 246-250. CrossrefGoogle Scholar
[9]
Liu Z.R., Qian. T.F., Peakons and their bifurcation in a generalized Camassa–Holm equation, International Journal of Bifurcation and Chaos, 2001, 11, 781-792. Google Scholar
[10]
Zhang Z.D., Bi Q.S., Bifurcations of a generalized Camassa-Holm equation, International Journal of Nonlinear Sciences and Numerical Simulation, 2005, 6, 81-86. Google Scholar
[11]
Liu Z.R., Tang H., Explicit periodic wave solutions and their bifurcations for generalized Camassa-Holm equation, International Journal of BifurcationI and Chaos, 2010, 20, 2507-2519. CrossrefGoogle Scholar
[12]
Deng S.F., Guo B.L., Wang T.C., Travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation, Science China-Mathematics, 2011, 54, 555-572. CrossrefGoogle Scholar
[13]
Kalla C., Klein C. New construction of algebro-geometric solutions to the Camassa-Holm equation and their numerical evaluation, Proceedings of the Royal Society A- Mathematical Physical and Engineering Sciences, 2012, 468, 1371-1390. CrossrefGoogle Scholar
[14]
Song M., Liu Z., Periodic wave solutions and their limits for the ZK–BBM equation[J], Applied Mathematics & Computation, 2012, 2012, 9-26. Google Scholar
[15]
Adem K. R., Khalique C.M., Conservation Laws and Traveling Wave Solutions of a Generalized Nonlinear ZK-BBM Equation[J], Abstract & Applied Analysis, 2014, 2014(2), 1-5. Google Scholar
[16]
Roshid H.O., Roshid M.M., Rahman N., et al. New solitary wave in shallow water, plasma and ion acoustic plasma via the GZK-BBM equation and the RLW equation[J], Propulsion & Power Research, 2017, 6(1), 49-57. CrossrefGoogle Scholar
[17]
Khater A.H., Helal M.A., Seadawy A.R., General soliton solutions of n-dimensional nonlinear Schr?dinger equation, IL Nuovo Cimento, 2000, 115B, 1303-1312. Google Scholar
[18]
Guo R., Hao H.Q., Zhang L.L., Dynamic behaviors of the breather solutions for the AB system in fluid mechanics, Nonlinear Dyn., 2013, 74, 701-709. CrossrefGoogle Scholar
[19]
Zhao X.J., Guo R., Hao H.Q., N-fold Darboux transformation and discrete soliton solutions for the discrete Hirota equation, Appl. Math. Lett., 2018, 75, 114-120. CrossrefGoogle Scholar
[20]
Yang Z.J., Zhang S.M., Li X.L., Pang Z.G., Variable sinh-Gaussian solitons in nonlocal nonlinear Schr?dinger equation, Appl. Math. Lett., 82, 64-70,(2018). CrossrefGoogle Scholar
[21]
Khater A.H., Callebaut D.K. and Seadawy A.R., General soliton solutions of an n-dimensional Complex Ginzburg-Landau equation, Physica Scripta, 2000, 62, 353-357.CrossrefGoogle Scholar
[22]
Seadawy A.R., Stability analysis of traveling wave solutions for generalized coupled nonlinear KdV equations, Appl. Math. Inf. Sci., 2016, 10, 1, 209-214.Google Scholar
[23]
Khater A.H., Callebaut D.K., Helal M.A. and Seadawy A.R., Variational Method for the Nonlinear Dynamics of an Elliptic Magnetic Stagnation Line, The European Physical Journal D, 2006, 39, 237-245.CrossrefGoogle Scholar
[24]
Seadawy A.R., The generalized nonlinear higher order of KdV equations from the higher order nonlinear Schrodinger equation and its solutions, Optik - International Journal for Light and Electron Optics, 2017, 139, 31-43.CrossrefGoogle Scholar
[25]
Seadawy A.R. Ion acoustic solitary wave solutions of two-dimensional nonlinear Kadomtsev-Petviashvili-Burgers equation in quantum plasma, Mathematical methods and applied Sciences, 2017, 40, (5), 1598-1607.CrossrefGoogle Scholar
[26]
Lenells. Traveling wave solutions of the Camassa-Holm equation[J]. Journal of Differential Equations, 2005, 217(2), 393-430. Google Scholar
[27]
Kalisch H., Lenells J., Numerical study of traveling-wave solutions for the Camassa–Holm equation[J], Chaos Solitons & Fractals, 2005, 25(2), 287-298. CrossrefGoogle Scholar
[28]
Baleanu1 D., Inc M., Yusuf A., Aliyu I.A., Traveling wave solutions and conservation laws for nonlinear evolution equation, Journal of Mathematical Physics, 2018, 59, 023506. CrossrefGoogle Scholar
[29]
Baleanu1 D., Inc M., Yusuf A., Aliyu I.A., Optical solitons, nonlinear self-adjointness and conservation laws for Kundu-Eckhaus equation, Chinese Journal of Physics, 2017, 55, 2341-2355. CrossrefGoogle Scholar
[30]
Inc M., Yusuf A., Aliyu I.A., Dark optical and other soliton solutions for the three different nonlinear Schr?dinger equations, Opt Quant Electron 2017, 49, 354. CrossrefGoogle Scholar
[31]
Inc M., Yusuf A., Aliyu I.A., Baleanu D., Soliton solutions and stability analysis for some conformable nonlinear partial differential equations in mathematical physics, Opt Quant Electron, 2018, 50, 190. CrossrefGoogle Scholar
[32]
Inc M., Yusuf A., Aliyu I.A., Baleanu D., Soliton structures to some time-fractional nonlinear differential equations with conformable derivative, Opt Quant Electron, 2018, 50, 20. CrossrefGoogle Scholar
[33]
Inc M., Yusuf A., Aliyu I.A., Baleanu D., Dark and singular optical solitons for the conformable space-time nonlinear Schr?dinger equation with Kerr and power law nonlinearity, Optik, 2018, 162, 65-75.CrossrefGoogle Scholar
[34]
Lu D., Seadawy A.R., Ali A., Dispersive traveling wave solutions of the Equal-Width and Modified Equal-Width equations via mathematical methods and its applications, Results in Physics, 2018, 9.Google Scholar
[35]
Helal M.A. and Seadawy A.R., Exact soliton solutions of an D-dimensional nonlinear Schrödinger equation with damping and diffusive terms, Z. Angew. Math. Phys. (ZAMP) 2011, 62, 839-847. CrossrefGoogle Scholar
[36]
Khater A.H., Callebaut D.K., Malfliet W. and Seadawy A.R., Nonlinear Dispersive Rayleigh-Taylor Instabilities in Magnetohydrodynamic Flows, Physica Scripta, 2001, 64, 533-547. CrossrefGoogle Scholar
[37]
Lu D., Seadawy A.R., Khater M.A., Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system, Advances in Difference Equations, 2018, 2018, (1), 266. Google Scholar
[38]
Ali A., Seadawy A.R., Lu D., New solitary wave solutions of some nonlinear models and their applications, Advances in Difference Equations, 2018, 2018,(1), 232. Google Scholar
[39]
Seadawy A.R., Travelling wave solutions of a weakly nonlinear two-dimensional higher order Kadomtsev-Petviashvili dynamical equation for dispersive shallow water waves, The European Physical Journal Plus, 2017, 132, 29, 1-13. Google Scholar
[40]
Seadawy A.R., Fractional travelling wave solutions of the higher order extended KdV equations in a stratified shear flow, part I, Computers and Mathematics with Applications, 2015, 70, 345-352. CrossrefGoogle Scholar
[41]
Lu D., Seadawy A.R., Arshad M., Bright-dark solitary wave and elliptic function solutions of unstable nonlinear Schrödinger equation and their applications[J]. Optical & Quantum Electronics, 2018, 50(1):23. CrossrefGoogle Scholar
[42]
Iqbal M., Seadawy A.R. and Lu D., Construction of solitary wave solutions to the nonlinear modified Kortewege-de Vries dynamical equation in unmagnetized plasma via mathematical methods, Modern Physics Letters A, 2018, 33, 1850183, 1-13. Google Scholar
[43]
Arshad M., Seadawy A.R., Lu D., Exact bright–dark solitary wave solutions of the higher-order cubic-quintic nonlinear SchrOdinger equation and its stability, Optik 2017, 138, 40-49. CrossrefGoogle Scholar
[44]
Lu D., Seadawy A.R., Arshad M., Wang J., New solitary wave solutions of (3 + 1)-dimensional nonlinear extended Zakharov-Kuznetsov and modified KdV-Zakharov-Kuznetsov equations and their applications, Results Phys, 2017, 7, 899-909. CrossrefGoogle Scholar
[45]
Tariq K., Seadawy A.R., Bistable Bright-Dark solitary wave solutions of the (3 +1)-dimensional Breaking soliton, Boussinesq equation with dual dispersion and modified Kortewegde Vries Kadomtsev Petviashvili equations and their applications, Results Phys 2017, 7, 1143-1149. CrossrefGoogle Scholar
[46]
Seadawy A.R., Traveling wave solutions of the Boussinesq and generalized fifth-order KdV equations by using the direct algebraic method, Appl Math Sci 2012, 6, (82), 4081-4090. Google Scholar
[47]
Seadawy A.R., Stability analysis solutions for nonlinear three-dimensional modified Korteweg-de Vries Zakharov Kuznetsov equation in a magnetized electron-positron plasma, Phys A 2016, 455, 44. CrossrefGoogle Scholar
[48]
Seadawy A.R., Approximation solutions of derivative nonlinear Schrodinger equation with computational applications by variational method, The European Physical Journal Plus, 2015, 130, 182, 1-10. Google Scholar
[49]
Iqbal M., Seadawy A.R. and Lu D., Dispersive solitary wave solutions of nonlinear further modified Kortewege-de Vries dynamical equation in a unmagnetized dusty plasma via mathematical methods, Modern Physics Letters A, 2018, 33, 1850217, 1-19. Google Scholar
[50]
Seadawy A.R., Manafian J., New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod, Results in Physics, 2018, 8, 1158-1167. CrossrefGoogle Scholar
[51]
Lu D., Seadawy A.R., Iqbal M., Mathematical physics via construction of traveling and solitary wave solutions of three coupled system of nonlinear partial differential equations and their applications, Results in Physics, 2018, 11, 1161-1171.CrossrefGoogle Scholar
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