References
- Peregrine D.H., Calculations of the development of an undular bore, Journal of Fluid Mechanics, 25(2), 321–300, 1966.
- Benjamin T.B., Bona J.L., Mahony J.J., Model equations for long waves in nonlinear dispersive systems, Philosophical Transactions of the Royal Society A, Mathematical, Physical and Engineering Sciences, 272(1220), 47–78, 1972.
- Usman M., Hussain A., Zaman F.D., Khan I., Eldin S.M., Reciprocal Bäcklund transformations and travelling wave structures of some nonlinear pseudo-parabolic equations, Partial Differential Equations in Applied Mathematics, 7, 100490, 2023.
- Rehman S., Hussain A., Rahman J.U., Anjum N., Munir T., Modified laplace based variational iteration method for the mechanical vibrations and its applications, Acta Mechanica et Automatica, 16(2), 98–102, 2022.
- Oskolkov A., Nonlocal problems for one class of nonlinear operator equations that arise in the theory of sobolev type equations, Journal of Soviet Mathematics, 64(1), 724–735, 1993.
- Rani S., Kumar S., Mann N., On the dynamics of optical soliton solutions, modulation stability, and various wave structures of a (2+1)-dimensional complex modified Korteweg-de-Vries equation using two integration mathematical methods, Optical and Quantum Electronics, 55, 731, 2023.
- Kumar S., Mohan B., Kumar R., Newly formed center-controlled rouge wave and lump solutions of a generalized (3+1)-dimensional KdV-BBM equation via symbolic computation approach, Physica Scripta, 98(8), 085237, 2023.
- Kumar A., Kumar S., Kharbanda H., Closed-form invariant solutions from the Lie symmetry analysis and dynamics of solitonic profiles for (2+1)-dimensional modified Heisenberg ferromagnetic system, Modern Physics Letters B, 36(07), 2150609, 2022.
- Oskolkov A.P., On stability theory for solutions of semilinear dissipative equations of the Sobolev type, Journal of Mathematical Sciences, 77, 3225–3231, 1995.
- Camassa R., Holm D.D., An integrable shallow water equation with peaked solitons, Physical Review Letters, 71(11), 1661–1664, 1993.
- Camassa R., Holm D.D., Hyman J.M., A new integrable shallow water equation, Advances in Applied Mechanics, 31, 1–33, 1994.
- Johnson R.S., Camassa-Holm, Korteweg-de Vries and related models for water waves, Journal of Fluid Mechanics, 455, 63–82, 2002.
- Amfilokhiev V.B., Pavlovskii V.A., Mazaeva N.P., Khodorkovskii Y.S., Flows of polymer solutions in the presence of convective accelerations, Trudy Leningrad. Korablestr. Inst. 96, 3–9, 1975.
- Wazwaz A.M., New solitary wave solutions to the modified forms of Degasperis-Procesi and Camassa-Holm equations, Applied Mathematics and Computation, 186(1), 130–141, 2007.
- Whitham G.B., Variational methods and applications to water waves, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 299(1456), 6–25, 1967.
- Fornberg B., Whitham G.B., A numerical and theoretical study of certain nonlinear wave phenomena, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 289(1361), 373–404, 1978.
- Hussain A., Kara A.H., Zaman F.D., An invariance analysis of the Vakhnenko-Parkes equation, Chaos Solitons Fractals, 171, 113423, 2023.
- Hussain A., Usman M., Zaman F.D., Eldin S.M., Symmetry analysis and invariant solutions of Riabouchinsky Proudman Johnson equation using optimal system of Lie subalgebras, Results in Physics, 49, 106507, 2023.
- Hussain A., Usman M., Al-Sinan B.R., Osman W.M., Ibrahim T.F., Symmetry analysis and closed-form invariant solutions of the non-linear wave equations in elasticity using optimal system of Lie subalgebra, Chinese Journal of Physics, 83(1), 1–13, 2023.
- Usman M., Hussain A., Zaman F.D., Eldin S.M., Group invariant solutions of wave propagation in phononic materials based on the reduced micromorphic model via optimal system of Lie subalgebra, Results in Physics, 48, 106413, 2023.
- Hussain A., Usman M., Zaman F.D., Eldin S.M., Double reductions and traveling wave structures of the generalized Pochhammer-Chree equation, Partial Differential Equations in Applied Mathematics, 7, 100521, 2023.
- Hussain A., Usman M., Zaman F.D., Ibrahim T.F., Dawood A.A., Symmetry analysis, closed-form invariant solutions and dynamical wave structures of the Benney-Luke equation using optimal system of Lie subalgebras, Chinese Journal of Physics, 84, 66–88, 2023.
- Hussain A., Usman M., Zaman F.D., Eldin S.M., Optical solitons with DNA dynamics arising in oscillator-chain of Peyrard-Bishop model, Results in Physics, 50, 106586, 2023.
- Usman M., Hussain A., Zaman F.D., Eldin S.M., Symmetry analysis and exact Jacobi elliptic solutions for the nonlinear couple Drinfeld Sokolov Wilson dynamical system arising in shallow water waves, Results in Physics, 51, 106613, 2023.
- Hussain A., Kara A.H., Zaman F.D., Symmetries, associated first integrals and successive reduction of Schrödinger type and other second order difference equations, Optik, 287, 171080, 2023.
- Usman M., Hussain A., Zaman F.D., Invariance analysis of thermophoretic motion equation depicting the wrinkle propagation in substrate-supported Graphene sheets, Physica Scripta, 98(9), 095205, 2023.
- Akcagil S., Aydemir T., Gozukizil O.F., Exact travelling wave solutions of nonlinear pseudoparabolic equations by using the G′/G-expansion method, New Trends in Mathematical Sciences, 4(4), 51–66, 2016.
- Rezazadeh H., New solitons solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity, Optik, 167, 218–227, 2018.
- Gözükızıl Ö.F., Akçağıl Ş., The tanh-coth method for some nonlinear pseudoparabolic equations with exact solutions, Advances in Difference Equations, 2013(143), 1–18, 2013.