Quasi-exact solutions of the equation for description of nonlinear waves in a liquid with gas bubbles

DOI10.1016/S0034-4877(15)60010-6zbMath1310.76165MaRDI QIDQ2258804

Nikolay A. Kudryashov, Mark B. Kochanov

Publication date: 26 February 2015

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

exact solutionnonlinear ordinary differential equationquasi-exact solutionKudryashov-Sinelschikov equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Theoretical approximation in context of PDEs (35A35) Liquid-gas two-phase flows, bubbly flows (76T10) Solutions to PDEs in closed form (35C05)

Related Items (2)

Some exact solutions of the Kudryashov-Sinelshchikov equation using point transformations ⋮ Existence results for the Kudryashov–Sinelshchikov–Olver equation

Cites Work

• Lie symmetry analysis of Kudryashov-Sinelshchikov equation
• Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations
• One method for finding exact solutions of nonlinear differential equations
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• The bifurcation and exact peakons, solitary and periodic wave solutions for the Kudryashov-Sinelshchikov equation
• New Jacobi elliptic function solutions for the Kudryashov-Sinelshchikov equation using improved F-expansion method
• Cnoidal waves governed by the Kudryashov-Sinelshchikov equation
• Nonlinear waves in liquids with gas bubbles with account of viscosity and heat transfer
• Exact solutions of the Kudryashov-Sinelshchikov equation
• On the Kudryashov-Sinelshchikov equation for waves in bubbly liquids
• Periodic loop solutions and their limit forms for the Kudryashov-Sinelshchikov equation
• Quasi-exact solutions of nonlinear differential equations
• Quasi-exact solutions of the dissipative Kuramoto-Sivashinsky equation
• Polynomials in logistic function and solitary waves of nonlinear differential equations
• EXACT TRAVELING WAVE SOLUTIONS AND THEIR BIFURCATIONS FOR THE KUDRYASHOV–SINELSHCHIKOV EQUATION

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