References
- Goldberg BB, Raichlen JS, Forsberg F. Ultrasound contrast agents: basic principles and clinical applications. 1st ed. London: CRC Press; 2001.
- Doinikov AA, Dayton PA. Spatio-temporal dynamics of an encapsulated gas bubble in an ultrasound field. J Acoust Soc Am. 2006;120:661.
- Plesset MS, Prosperetti A. Bubble dynamics and cavitation. Annu Rev Fluid Mech. 1977;9:145.
- Kudryashov NA, Chernyavskii IL. Nonlinear waves in fluid flow through a viscoelastic tube. Fluid Dynamics. 2006;41:49.
- Rayleigh L. On the pressure developed in a liquid during the collapse of a spherical cavity. Philos Mag. 1917;34:94.
- Foldy LL. The multiple scattering of waves. I. General theory of isotropic scattering by randomly distributed scatterers. Phys Rev. 1945;67:107.
- van Wijngaarden L. One-dimensional flow of liquids containing small gas bubbles. Annu Rev Fluid Mech. 1972;4:369.
- Kudryashov NA, Sinelshchikov DI. Nonlinear waves in bubbly liquids with consideration for viscosity and heat transfer. Phys Lett A. 2010;374:2011.
- Ryabov PN. Exact solutions of the Kudryashov–Sinelshchikov equation. Appl Math Comput. 2010;217:3585.
- Kudryashov NA, Sinelshchikov DI. Nonlinear evolution equations for describing waves in bubbly liquids with viscosity and heat transfer consideration. Appl Math Comput. 2010;217(1):414.
- Kudryashov NA, Sinelshchikov DI. Nonlinear waves in liquids with gas bubbles with account of viscosity and heat transfer. Fluid Dyn. 2010;45(1):96.
- Kudryashov NA. On one method for finding exact solutions of nonlinear differential equations. Commu Nonlinear Sci Numer Simul. 2012;17:2248–2253.
- Wang M, Li X, Zhang J. The (g'/g)-expansion method and traveling wave solutions of nonlinear evolution equations in mathematical physics. Phys Lett A. 2008;372:417–423.
- EL−Wakil SA, Madkour MA, Abdou MA. Application of expfunction method for nonlinear evolution equations with variable coefficients. Phys Lett A. 2007;369:62–69.
- Fan EG. Extended tanh-function method and its applications to nonlinear equations. Phys Lett A. 2000;277:212–218.
- Kudryashov NA. Exact soliton solutions of the generalized evolution equations of wave dynamics. J Appl Math Mech. 1988;52:361–365.
- Zayed EME, Abdelaziz MAM. The G′/G and Exp-method for variable coefficient nonlinear PDEs. Intl Rev Phys. 2010;4(3):161.
- Biswas A, Milovic D. Travelling wave solutions of the non-linear Schro¨dinger's equation in non–Kerr law media. Comm Nonlinear Sc Numer Simul. 2009;14(5):1993.
- Biswas A, Milovic D. Bright and dark solitons of the generalized nonlinear Schro¨dinger's equation. Comm Nonlin Sc Numer Simul. 2010;15(6):1473.
- Biswas A, Milovic D. Bright and dark solitons of the generalized nonlinear Schro¨dinger's equation. Comm Nonlin Sc Numer Simul. 2010;15(6):1473.
- Anco SC, Nayeri H, Recio E. Travelling wave solutions on a non-zero background for the generalized Korteweg–de Vries equation. J Phys A: Math Theor. 2021;54(8):085701.
- Koutsokostas GN, Horikis TP, Kevrekidis PG, et al. Universal reductions and solitary waves of weakly nonlocal defocusing nonlinear Schro¨dinger equations. J Phys A: Math Theor. 2021;54(8):085702.
- Garai S, Ghose-Choudhury A, Dan J. On the solution of certain higher-order local and nonlocal nonlinear equations in optical fibers using Kudryashov's approach. Optik. 2020;222:165312.
- Dan J, Sain S, Ghose-Choudhury A, et al. Application of the Kudryashov function for finding solitary wave solutions of NLS type differential equations. Optik. 2020;224:165519.
- Dan J, Sain S, Ghose-Choudhury A, et al. Solitary wave solutions of nonlinear PDEs using Kudryashov's R function method. J Modern Optics. 2021;67(19):1499.
- Sain S, Ghose-Choudhury A, Garai S. Solitary wave solutions for the KdV-type equations in plasma: a new approach with the Kudryashov function. Eur Phys J Plus. 2021;136:226.
- Wang C. Spatiotemporal deformation of lump solution to (2+1)-dimensional KdV equation. Nonlinear Dyn. 2016;84:697.
- Wang C, Dai Z, Liu C. Interaction between Kink solitary wave and rogue wave for (2+1)-dimensional Burgers equation. Mediterranean J Math volume. 2016;13:1087.
- Wang C, Fang H, Tang X. State transition of lump-type waves for the (2+1)-dimensional generalized KdV equation. Nonlinear Dyn. 2019;95:2943.
- Wang C, Fang H. General high-order localized waves to the BogoyavlenskiiKadomtsevPetviashvili equation. Nonlin Dyn. 2020;100:583.
- Chiellini A. Sull'integrazione dell'equazione differenziale y′+Py2+Qy3=0. Bollettino della Unione Matematica Italiana. 1931;10:301–307.
- Lobo T. Harko FSN, Mak MK. A Chiellini type integrability condition for the general first kind Abel differential equation. Universal J Appl Math. 2013;1:101.
- Ghose-Choudhury A, Guha P. Chiellini integrability condition, planar isochronous system and Hamiltonian structure of Liénard equation. Discrete Continuous Dyn Syst. 2017;22:2465.
- Guha P, Ghose Choudhury A. The Jacobi last multiplier and isochronicity of Liénard type systems. Rev Math Phys. 2013;25(6):1330009.
- Nucci MC, Leach PGL. The Jacobi's last multiplier and its applications in mechanics. Phys Scr. 2008;78:1330009.
- Kudryashov NA. Almost general solution of the reduced higher-order nonlinear Schro¨dinger equation. Optik. 2021;230:166347.