Nonlinearity contributions on critical MKP equation

References

• Tran MQ. Ion acoustic solitons in a plasma: a review of their experimental properties and related theories. Phys Scr. 1979;20(3-4):317–327. doi: 10.1088/0031-8949/20/3-4/004
   Web of Science ®Google Scholar
• Nakamura Y, Ferreira JL, Ludwig GO. Experiments on ion-acoustic rarefactive solitons in a multi-component plasma with negative ions. J Plasma Phys. 1985;33(2):237–248. doi: 10.1017/S0022377800002476
   Google Scholar
• Nakamura Y, Odagiri T, Tsukabayashi I. Ion-acoustic waves in a multicomponent plasma with negative ions. Plasma Phys Control Fusion. 1997;39:105–115. doi: 10.1088/0741-3335/39/1/007
   Web of Science ®Google Scholar
• Nakamura Y, Tsukabayashi I. Observation of modified korteweg-de vries solitons in a multicomponent plasma with negative ions. Phys Rev Lett. 1984;52:2356. doi: 10.1103/PhysRevLett.52.2356
   Web of Science ®Google Scholar
• Lonngren KE. Soliton experiments in plasmas. Plasma Phys. 1983;25:943–982. doi: 10.1088/0032-1028/25/9/001
   Google Scholar
• Popel SI, Vladimirov SV, Shukla PK. Ion-acoustic solitons in electron-positron-ion plasmas. Phys Plasmas. 1995;2:716. doi: 10.1063/1.871422
   Web of Science ®Google Scholar
• Roy K, Misra AP, Chatterjee P. Ion-acoustic shocks in quantum electron-positron-ion plasmas. Phys Plasmas. 2008;15:032310. doi: 10.1063/1.2896231
   Web of Science ®Google Scholar
• Gill TS, Bedi C, Bains AS. Envelope excitations of ion acoustic solitary waves in a plasma with superthermal electrons and positrons. Phys Scripta. 2010;81(5):055503. doi: 10.1088/0031-8949/81/05/055503
   Google Scholar
• Williams G, Verheest F, Hellberg MA, et al. A Schamel equation for ion acoustic waves in superthermal plasmas. Phys Plasmas. 2014;21:092103. doi: 10.1063/1.4894115
   Google Scholar
• Sahu B. Nonplanar ion acoustic waves in collisional quantum plasma. Phys A: Statist Mechanics Its Applications. 2018;509:162–168. doi: 10.1016/j.physa.2018.06.028
   Web of Science ®Google Scholar
• Oohara W, Hatakeyama R. Pair-ion plasma generation using fullerenes. Phys Rev Lett. 2003;91:205005. doi: 10.1103/PhysRevLett.91.205005
   PubMed Web of Science ®Google Scholar
• Oohara W., Date D., Hatakeyama R. Electrostatic waves in a paired fullereneion plasma. Phys Rev Lett. 2005;95:175003. doi: 10.1103/PhysRevLett.95.175003
   PubMed Web of Science ®Google Scholar
• Saleem H. A criterion for pure pair-ion plasmas and the role of quasineutrality in nonlinear dynamics. Phys Plasmas. 2007;14:014505.
   Google Scholar
• Sabry R, Moslem WM, Shukla PK. Fully nonlinear ion-acoustic solitary waves in a plasma with positive-negative ions and nonthermal electrons. Phys Plasmas. 2009;16:032302.
   Web of Science ®Google Scholar
• Elwakil SA, El-Shewy EK, Abdelwahed HG. Envelope ion-acoustic solitary waves in a plasma with positive-negative ions and nonthermal electrons. Phys Plasmas. 2010;17:052301. doi: 10.1063/1.3383052
   Google Scholar
• Abdelwahed HG, El-Shewy EK, Zahran MA, et al. On the rogue wave propagation in ion pair superthermal plasma. Phys Plasmas. 2016;23:022102.
   Web of Science ®Google Scholar
• Abdelwahed HG, El-Shewy EK, El-Rahman AA, et al. Cylindrical shock waves in space superthermal fluids. J Korean Phys Soc. 2019;75(9):693–698. doi: 10.3938/jkps.75.693
   Web of Science ®Google Scholar
• Aliyu AI, Li Y, Qi L. Lump-type and bell-shaped soliton solutions of the time-dependent coefficient Kadomtsev-Petviashvili equation. Front Phys. 2020;7:242. doi: 10.3389/fphy.2019.00242
   Web of Science ®Google Scholar
• Abdo NF. Effect of non Maxwellian distribution on the dressed electrostatic wave and energy properties. J Taibah University Sci. 2017;11:617–622. doi: 10.1016/j.jtusci.2016.06.001
   Web of Science ®Google Scholar
• El-Shewy EK, Abdelwahed HG, Abdo NF, et al. On the modulation of ionic velocity in electron-positron-ion plasmas. J Taibah University Sci. 2017;11:1267–1274. doi: 10.1016/j.jtusci.2017.03.003
   Web of Science ®Google Scholar
• Ghanbari B, Gómez-Aguilar JF. New exact optical soliton solutions for nonlinear Schrödinger equation with second-order spatio-Temporal dispersion involving M-derivative. Modern Phys Lett B. 2019;33(20):1950235. doi: 10.1142/S021798491950235X
   Google Scholar
• Ghanbari B, Baleanu D. New solutions of Gardner's equation using two analytical methods. Front. Phys. 2019. doi:10.3389/fphy.2019.00202.
   Google Scholar
• Ghanbari B, Baleanu D. A novel technique to construct exact solutions for nonlinear partial differential equations. Eur Phys J Plus. 2019;134:506. doi:10.1140/epjp/i2019-13037-9.
   Web of Science ®Google Scholar
• Srivastava HM, Günerhan H, Ghanbari B. Exact traveling wave solutions for resonance nonlinear Schrödinger equation with intermodal dispersions and the Kerr law nonlinearity. Math Methods Appl Sci. 2019;42:7210–7221. doi: 10.1002/mma.5827
   Web of Science ®Google Scholar
• Ghanbari B, Kuo C. New exact wave solutions of the variable-coefficient (1 + 1)-dimensional Benjamin-Bona-Mahony and (2 + 1)-dimensional asymmetric Nizhnik-Novikov-Veselov equations via the generalized exponential rational function method. Eur Phys J Plus. 2019;134:334. doi:10.1140/epjp/i2019-12632-0.
   Web of Science ®Google Scholar
• Ghanbari B, Inc M, Rada L. Solitary wave solutions to the Tzitzeica type equations obtained by a new efficient approach. J Appl Anal Comput. 2019;9(2):568–89.
   Google Scholar
• Abdelrahman MAE, Sohaly MA. The development of the deterministic nonlinear PDEs in particle physics to stochastic case. Results Phys. 2018;9:344–350. doi: 10.1016/j.rinp.2018.02.032
   Web of Science ®Google Scholar
• Abdelrahman MAE. A note on Riccati-Bernoulli sub-ODE method combined with complex transform method applied to fractional differential equations. Nonlinear Eng Model Appl. 2018;7(4):279–285. doi: 10.1515/nleng-2017-0145
   Google Scholar
• Abdelrahman MAE, Sohaly MA. On the new wave solutions to the MCH equation. Indian J Phys. 2019;93:903–911. doi: 10.1007/s12648-018-1354-6
   Web of Science ®Google Scholar
• Abdelrahman MAE, Sohaly MA. Solitary waves for the nonlinear Schrödinger problem with the probability distribution function in stochastic input case. Eur Phys J Plus. 2017;132:339. doi: 10.1140/epjp/i2017-11607-5
   Web of Science ®Google Scholar
• Abdelrahman MAE, Moaaz O. New exact solutions to the dual-core optical fibers. Indian J Phys. 2019. doi:10.1007/s12648-019-01503-w.
   Google Scholar
• Hassan SZ, Abdelrahman MAE. Solitary wave solutions for some nonlinear time fractional partial differential equations. Pramana-J Phys. 2018;91:67. doi: 10.1007/s12043-018-1636-8
   Web of Science ®Google Scholar
• Wazwaz AM. A sine-cosine method for handling nonlinear wave equations. Math Comput Modelling. 2004;40:499–508. doi: 10.1016/j.mcm.2003.12.010
   Web of Science ®Google Scholar
• Baskonus HM, Bulut H. New wave behaviors of the system of equations for the ion sound and Langmuir waves. Waves Random Complex Media. 2016;26:613–625. doi: 10.1080/17455030.2016.1181811
   Web of Science ®Google Scholar
• Liu C. Exact solutions for the higher-order nonlinear Schrödinger equation in nonlinear optical fibres. Chaos, Solitons and Fractals. 2005;23:949–955. doi: 10.1016/S0960-0779(04)00345-5
   Web of Science ®Google Scholar
• Zhang S. Exp-function method for solving Maccari's system. Phys Lett A. 2007;371:65–71. doi: 10.1016/j.physleta.2007.05.091
   Web of Science ®Google Scholar
• El Achab A, Amine A. A construction of new exact periodic wave and solitary wave solutions for the 2D Ginzburg-Landau equation. Nonlinear Dyn. 2017. doi:10.1007/s11071-017-3924-0.
   Google Scholar
• Hosseini K, Kumar D, Kaplan M, et al. New exact traveling wave solutions of the unstable nonlinear Schrödinger equations. Commun Theor Phys. 2017c;68:761–767. doi: 10.1088/0253-6102/68/6/761
   Web of Science ®Google Scholar
• Bulut H, Sulaiman TA, Baskonus HM. Optical solitons to the resonant nonlinear Schrödinger equation with both spatio-temporal and inter-modal dispersions under Kerr law nonlinearity. Optik. 2018;163:49–55. doi: 10.1016/j.ijleo.2018.02.081
   Web of Science ®Google Scholar
• Yang XF, Deng ZC, Wei Y. A Riccati-Bernoulli sub-ODE method for nonlinear partial differential equations and its application. Adv Diff Equ;1:117–133.
   Google Scholar