Analytical Solitonic Solutions of Higher-Order Non-Linear Ito Equation

被引：0
作者：
Ullah N. [1 ]
Asjad M.I. [1 ]
机构：
[1] Department of Mathematics, University of Management and Technology, Lahore
来源：
International Journal of Applied and Computational Mathematics | 2022年 / 8卷 / 4期
关键词：
Solitons solutions; The Ito equation; The new extended direct algebraic method;
D O I：
10.1007/s40819-022-01375-5
中图分类号：
学科分类号：
摘要：
Search for the analytic solutions of nonlinear PDEs has become very famous to analyze the waves motion on shallow water surfaces. In this paper, a reliable analytical technique is used to construct some numerus types of solitons solutions for the Ito equation that models the waves propagation on water tops. The constructed solutions are in the shape of bright, periodic, singular, and combo dark-bright solitons. These results help us to know the energetic performance of various physical structures. Also, these results are definite, unique, precise and may be helpful for enlightening particular non-linear physical phenomena in non-linear dynamical systems. Physical regenerations for some of the learnt solutions are presented. The applied technique is efficient and suitable to conduct the solution procedure for current model that looks in various physical occurrences. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.
引用
收藏
相关论文
共 47 条
  • [1] Bansal A., Biswas A., Zhou Q., Babatin M.M., Lie symmetry analysis for cubic-quartic nonlinear Schrodinger’s equation, Optik, 169, pp. 12-15, (2018)
  • [2] Biswas A., Triki H., Zhou Q., Moshokoa S.P., Ullah M.Z., Belic M., Cubic-quartic optical solitons in Kerr and power law media, Optik, 144, pp. 357-362, (2017)
  • [3] Biswas A., Kara A.H., Ullah M.Z., Zhou Q., Triki H., Belic M., Conservation laws for cubic-quartic optical solitons in Kerr and power law media, Optik, 145, pp. 650-654, (2017)
  • [4] Hirota R., The direct method in soliton theory, Cambridge Tracts in Mathematics, 155, (2004)
  • [5] Liu X., Zhang H., The dynamic characteristics of pure-quartic solitons and soliton molecules, Appl. Math. Model., 102, pp. 305-312, (2022)
  • [6] Liu X., Triki H., Zhou Q., Mirzazadeh M., Liu W., Generation and control of multiple solitons under the influence of parameters, Nonlinear Dynamics, 95, 1, pp. 143-150, (2019)
  • [7] Ali M.N., Husnine S.M., Turgut A., Nonlinear self-adjointness, conservation laws and exact solution of electrical transmission lines model, SeMA J., 76, pp. 403-412, (2019)
  • [8] Song M., Yang C.X., Exact traveling wave solutions of the Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation, Appl. Math. Comput., 216, 11, pp. 3234-3243, (2010)
  • [9] Ali M.N., Seadawy A.R., Husnine S.M., Lie point sym-metries, exact solutions and conservation laws of Per-turbed Zakharov-Kuznetsov equation with higher order dispersion, Mod. Phys. Lett. A., 34, 3, (2019)
  • [10] Az-Zo'bi E.A., Modified Laplace decomposition method, World Appl. Sci. J., 18, 11, pp. 1481-1486, (2012)
12345