106 citations · 722 across the 27 of their papers we have counts for
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Exact solutions of equations for the Burgers hierarchy
Nikolay A. Kudryashov, Dmitry I. Sinelshchikov
Some classes of the rational, periodic and solitary wave solutions for the Burgers hierarchy are presented. The solutions for this hierarchy are obtained by using the generalized C…
Nonlinear evolution equations for describing waves in bubbly liquids with viscosity and heat transfer consideration
Nikolay A. Kudryashov, Dmitry I. Sinelshchikov
Nonlinear evolution equations of the fourth order and its partial cases are derived for describing nonlinear pressure waves in a mixture liquid and gas bubbles. Influence of viscos…
Exact solutions of the Swift-Hohenberg equation with dispersion
Nikolay A. Kudryashov, Dmitry I. Sinelshchikov
The Swift-Hohenberg equation with dispersion is considered. Traveling wave solutions of the Swift-Hohenberg equation with dispersion are presented. The classification of these solu…
Meromorphic exact solutions of the generalized Bretherton equation
Nikolay A. Kudryashov, Dmitry I. Sinelshchikov, Maria V. Demina
The generalized Bretherton equation is studied. The classification of the meromorphic traveling wave solutions for this equation is presented. All possible exact solutions of the g…
Nonlinear waves in bubbly liquids with consideration for viscosity and heat transfer
Nikolay A. Kudryashov, Dmitry I. Sinelshchikov
Nonlinear waves are studied in a mixture of liquid and gas bubbles. Influence of viscosity and heat transfer is taken into consideration on propagation of the pressure waves. Nonli…
Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations
Pavel N. Ryabov, Dmitry I. Sinelshchikov, Mark B. Kochanov
The application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations is considered. Some classes of solitary wave solutions for the…