References
- Kudryashov NA, Sinelshchikov DI. Nonlinear wave in bubbly liquids with consideration for viscosity and heat transfer. Phys Lett A. 2010;374:2011–2016. doi: 10.1016/j.physleta.2010.02.067
- Korteveg DJ, De Vries G. On the change of long waves advancing in a rectangular canal and on new type of long stationary waves. Philos Mag. 1895;39:422–443. doi: 10.1080/14786449508620739
- Shu JJ. The proper analytical solution of the Korteweg-de Vries-Burgers equation. J Phys A Math Gen. 1987;20:49–56. doi: 10.1088/0305-4470/20/2/002
- Ryabov PN, Sinelshchikov DI, Kochanov MB. Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equation. Appl Math Comput. 2011;218:3965–3972.
- Li J, Chen G. Exact traveling wave solutions and their bifurcations for the Kudryashov-Sinelshchikov equation. Int J Bifurc Chaos Appl Sci Eng. 2012;22:1250118.
- Randrt M. On the Kudryashov–Sinelshchikov equation for waves in bubbly liquids. Phys Lett A. 2011;375:3687–3692. doi: 10.1016/j.physleta.2011.08.048
- Seadawy AR, Lu D, Yue C. Travelling wave solutions of the generalized nonlinear fifth-order KdV water wave equations and its stability. J Taibah Univ Sci. 2017;11:623–633. doi: 10.1016/j.jtusci.2016.06.002
- He B, Meng Q, Long Y. The bifurcation and exact peakons, solitary and periodic wave solutions for the Kudryashov-Sinelshchikov equation. Commun Nonlinear Sci Numer Simul. 2012;17:4137–4148. doi: 10.1016/j.cnsns.2012.03.007
- Yang H, Liu W, Yang B, et al. Lie symmetry analysis and exact explicit solutions of three-dimensional Kudryashov-Sinelshchikov equation. Commun Nonlinear Sci Numer Simul. 2015;27:271–280. doi: 10.1016/j.cnsns.2015.03.014
- Zhao YM. F-expansion method and its application for finding new exact solutions to the Kudryashov-Sinelshchikov equation. J Appl Math. 2013;2013:1–7.
- Tian SF. Initial-boundary value problems for the general coupled nonlinear Schrodinger equation on the interval via the Fokas method. J Differ Equ. 2017;262(1):506–558. doi: 10.1016/j.jde.2016.09.033
- Tian SF. The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method. Proc R Soc A. 2016;472(2195):20160588. doi: 10.1098/rspa.2016.0588
- Tian SF. Initial-boundary value problems of the coupled modified Korteweg-de Vries equation on the half-line via the Fokas method. J Phys A Math Theor. 2017;50(39):395204. doi: 10.1088/1751-8121/aa825b
- Tian SF, Zhang TT. Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition. Proc Am Math Soc. 2018;146(4):1713–1729. doi: 10.1090/proc/13917
- Tian SF. Initial-boundary value problems for the coupled modified Korteweg-de Vries equation on the interval. Commun Pure Appl Anal. 2018;17(3):923–957. doi: 10.3934/cpaa.2018046
- Tian SF. Infinite propagation speed of a weakly dissipative modified two-component Dullin-Gottwald-Holm system. Appl Math Lett. 2019;89:1–7. doi: 10.1016/j.aml.2018.09.010
- Yan XW, Tian SF, Dong MJ, et al. Rogue waves and their dynamics on Bright-Dark soliton background of the coupled higher order nonlinear Schrodinger equation. J Phys Soc Japan. 2019;88(7):074004. doi: 10.7566/JPSJ.88.074004
- Guo D, Tian SF, Zhang TT. Integrability, soliton solutions and modulation instability analysis of a (2+ 1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation. Comput Math Appl. 2019;77(3):770–778. doi: 10.1016/j.camwa.2018.10.017
- Peng WQ, Tian SF, Zhang TT. Analysis on lump, lumpoff and rogue waves with predictability to the (2+ 1)-dimensional B-type Kadomtsev-Petviashvili equation. Phys Lett A. 2018;382(38):2701–2708. doi: 10.1016/j.physleta.2018.08.002
- Wang XB, Tian SF, Feng LL, et al. On quasi-periodic waves and rogue waves to the (4+ 1)-dimensional nonlinear Fokas equation. J Math Phys. 2018;59(7):073505. doi: 10.1063/1.5046691
- Yan XW, Tian SF, Dong MJ, et al. Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+ 1)-dimensional generalized breaking soliton equation. Comput Math Appl. 2018;76(1):179–186. doi: 10.1016/j.camwa.2018.04.013
- Qin CY, Tian SF, Wang XB, et al. Rogue waves, bright-dark solitons and traveling wave solutions of the (3+ 1)-dimensional generalized Kadomtsev-Petviashvili equation. Comput Math Appl. 2018;75(12):4221–4231. doi: 10.1016/j.camwa.2018.03.024
- Ahmed I, Seadawy AR, Lu D. Kinky breathers, W-shaped and multi-peak solitons interaction in (2+ 1)-dimensional nonlinear Schrodinger equation with Kerr law of nonlinearity. Eur Phys J Plus. 2019;134:120. doi: 10.1140/epjp/i2019-12482-8
- Seadawy AR, Manafian J. New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod. Results Phys. 2018;8:1158–1167. doi: 10.1016/j.rinp.2018.01.062
- Lu D, Seadawy AR, Ali A. Applications of exact traveling wave solutions of modified Liouville and the symmetric regularized long wave equations via two new techniques. Results Phys. 2018;9:1403–1410. doi: 10.1016/j.rinp.2018.04.039
- Juan L, Xu T, Meng XH, et al. Lax pair, Backlund transformation and N-soliton-like solution for a variable-coefficient Gardner equation from nonlinear lattice, plasma physics and ocean dynamics with symbolic computation. J Math Anal Appl. 2007;336:1443–1455. doi: 10.1016/j.jmaa.2007.03.064
- Seadawy AR, El-Rashidy K. Traveling wave solutions for some coupled nonlinear evolution equations. Math Comput Model. 2013;57:1371–1379. doi: 10.1016/j.mcm.2012.11.026
- Seadawy AR, Lu D. Ion acoustic solitary wave solutions of three-dimensional nonlinear extended Zakharov–Kuznetsov dynamical equation in a magnetized two-ion-temperature dusty plasma. Results Phys. 2016;6:590–593. doi: 10.1016/j.rinp.2016.08.023
- Seadawy AR. The solutions of the boussinesq and generalized Fifth-Order KdV equations by using the direct algebraic method. Appl Math Sci. 2012;82:4081–4090.
- Iqbal M, Seadawy AR, Lu D. Construction of solitary wave solutions to the nonlinear modified Kortewege-de Vries dynamical equation in unmagnetized plasma via mathematical methods. Mod Phys Lett A. 2018;33:1–13.
- Iqbal M, Seadawy AR, Lu D. Dispersive solitary wave solutions of nonlinear further modified Kortewege-de Vries dynamical equation in a unmagnetized dusty plasma via mathematical methods. Mod Phys Lett A. 2018;33:1–19.
- Seadawy AR, Lu D, Iqbal M. Application of mathematical methods on the system of dynamical equations for the ion sound and Langmuir waves. Pramana J Phys. 2019;93:1–10. doi: 10.1007/s12043-019-1771-x
- Iqbal M, Seadawy AR, Lu D. Applications of nonlinear longitudinal wave equation in a magneto-electro-elastic circular rod and new solitary wave solutions. Mod Phys Lett B. 2019;33:1950210. doi: 10.1142/S0217984919502105
- Seadawy AR. Stability analysis for Zakharov–Kuznetsov equation of weakly nonlinear ion-acoustic waves in a plasma. Comput Math Appl. 2014;67:172–180. doi: 10.1016/j.camwa.2013.11.001
- Seadawy AR. Stability analysis for two-dimensional ion-acoustic waves in quantum plasmas. Phys Plasma. 2014;21:052107. doi: 10.1063/1.4875987
- Seadawy AR. Approximation solutions of derivative nonlinear Schrodinger equation with computational applications by variational method. Eur Phys J Plus. 2015;130:182. doi: 10.1140/epjp/i2015-15182-5
- Seadawy AR. Nonlinear wave solutions of the three-dimensional Zakharov–Kuznetsov–Burgers equation in dusty plasma. Phys A Stat Mech Appl. 2015;439:124–131. doi: 10.1016/j.physa.2015.07.025
- Seadawy AR. Ion acoustic solitary wave solutions of two-dimensional nonlinear Kadomtsev-Petviashvili-Burgers equation in quantum plasma. Math Methods Appl Sci. 2017;40:1598–1607. doi: 10.1002/mma.4081
- Seadawy AR. Three-dimensional nonlinear modified Zakharov–Kuznetsov equation of ion-acoustic waves in a magnetized plasma. Comput Math Appl. 2016;71:201–212. doi: 10.1016/j.camwa.2015.11.006
- Seadawy AR. Solitary wave solutions of two-dimensional nonlinear Kadomtsev–Petviashvili dynamic equation in dust-acoustic plasmas. Pramana J Phys. 2017;89:49. doi: 10.1007/s12043-017-1446-4
- Seadawy AR, El-Rashidy K. Water wave solutions of the coupled system Zakharov-Kuznetsov and generalized coupled KdV equations. Sci World J. 2014;2014:1–6. doi: 10.1155/2014/724759
- Yaro D, Seadawy AR, Lu D, et al. Dispersive wave solutions of the nonlinear fractional Zakhorov-Kuznetsov-Benjamin-Bona-Mahony equation and fractional symmetric regularized long wave equation. Results Phys. 2019;12:1971–1979. doi: 10.1016/j.rinp.2019.02.005
- Lu D, Seadawy AR, 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 Phys. 2018;11:1161–1171. doi: 10.1016/j.rinp.2018.11.014
- Lu D, Seadawy AR, Iqbal M. Construction of new solitary wave solutions of generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony and simplified modified form of Camassa-Holm equations. Open Phys. 2018;16:896–909. doi: 10.1515/phys-2018-0111
- Seadawy AR, Iqbal M, Lu D. Propagation of long-wave with dissipation and dispersion in nonlinear media via generalized Kadomtsive-Petviashvili modified equal width-Burgers equation. Ind J Phys. 2019. doi:10.1007/s12648-019-01500-z
- Seadawy AR, Iqbal M, Lu D. Applications of propagation of long-wave with dissipation and dispersion in nonlinear media via solitary wave solutions of generalized Kadomtsev–Petviashvili modified equal width dynamical equation. Comput Math Appl. 2019. doi:10.1016/j.camwa.2019.06.013.
- Seadawy AR, El-Rashidy K. Rayleigh-Taylor instability of the cylindrical flow with mass and heat transfer. Pramana J Phys. 2016;87:20. doi: 10.1007/s12043-016-1222-x
- Seadawy AR, Iqbal M, Lu D. Construction of soliton solutions of the modify unstable nonlinear Schrödinger dynamical equation in fiber optics. Ind J Phys. 2019. doi:10.1007/s12648-019-01532-5
- Tariq KU-H, Seadawy A. Bistable Bright-Dark solitary wave solutions of the (3+1)-dimensional breaking soliton, Boussinesq equation with dual dispersion and modified Korteweg-de Vries-Kadomtsev-Petviashvili equations and their applications. Results Phys. 2017;7:1143–1149. doi: 10.1016/j.rinp.2017.03.001
- Seadawy A. Two-dimensional interaction of a shear flow with a free surface in a stratified fluid and its a solitary wave solutions via mathematical methods. Eur Phys J Plus. 2017;132:518. doi: 10.1140/epjp/i2017-11755-6