Results 91 to 100 of about 567 (108)

On identical traveling-wave solutions of the Kudryashov–Sinelshchikov and related equations

International Journal of Non-Linear Mechanics, 2014
Abstract Kudryashov and Sinelshchikov (2010) [2] , [3] have developed a one-dimensional theory of the flow of a liquid with gas bubbles. The propagation of waves is described by an evolution equation that contains non-linear terms in the higher derivatives.
Randrüüt, Merle, Braun, Manfred
openaire   +1 more source

Kudryashov-Sinelshchikov equation: phase portraits, bifurcation analysis and solitary waves

Optical and Quantum Electronics
Karmina K Ali
exaly   +2 more sources

Resonant solitary wave and resonant periodic wave solutions of the Kudryashov-Sinelshchikov equation

Physica Scripta, 2020
Abstract In this paper, we study resonant solitary wave and resonant periodic wave solutions of the Kudryashov-Sinelshchikov equation. Based on the Hirota bilinear form, we obtain multi-solitary wave solutions.
Yuan-Ting Jin, Ai-Hua Chen
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Exact solutions of the Kudryashov–Sinelshchikov equation in ideal liquid with gas bubbles

Physica Scripta, 2018
In this paper, we study exact solutions of the Kudryashov–Sinelshchikov equation in ideal liquid with gas bubbles. Based on the bilinear equation, we get N-solitary wave solutions. For complex parameters, periodic wave solutions and interactional solutions of solitary waves with periodic waves are obtained.
Ai-Juan Zhou, Ai-Hua Chen
openaire   +1 more source

Analysis of Physical Processes of the Kudryashov-Sinelshchikov Equation with Variable Coefficients

International Journal of Theoretical Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Conservation laws and exact solutions of Kudryashov-Sinelshchikov equation and Benney-Luke equation

2021
MSc (Applied Mathematics), North-West University, Mafikeng Campus ...
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On Solving the Kudryashov-Sinelshchikov Equation for Pressure Waves in Gas-Liquid Mixtures

Punjab University Journal of Mathematics
In this work, our focus is on obtaining approximate analytic solutions for the Kudryashov-Sinelshchikov equation using the reduced differential transform method. This equation describes nonlinear waves in gas-liquid mixtures, with a specific emphasis on the impact of heat transfer and viscosity.
Turgut Ak, Sharanjeet Dhawan
openaire   +1 more source

WAVE SOLUTION BEHAVIOUR OF THE KUDRYASHOV-SINELSHCHIKOV EQUATION WITH VARIABLE COEFFICIENT

International Conference on Modern Problems of Mathematics, Mechanics and their Applications
Abstract. This study explores analytical wave solutions of the Kudryashov-Sinelshchikov equation with variable coefficients,aiming to capture the dynamic nature of real-world phenomena. The equation's relevance in fields such as fluid dynamics,nonlinear optics, and plasma physics has made it a focal point for recent research.
openaire   +1 more source

A study on the resonant multi-soliton waves and the soliton molecule of the (3+1)-dimensional Kudryashov–Sinelshchikov equation

Chaos, Solitons and Fractals, 2021
Chun-Ku Kuo
exaly  

On Lie symmetries, optimal systems and explicit solutions to the Kudryashov–Sinelshchikov equation

Applied Mathematics and Computation, 2016
Jian-Min Tu, Shou-Fu Tian, Mei-Juan Xu   +2 more
exaly