Results 71 to 80 of about 1,885 (105)

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   +2 more sources

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   +2 more sources

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.
S. Duran
openaire   +2 more sources

Numerical and dynamical behaviors of nonlinear traveling wave solutions of the Kudryashov–Sinelshchikov equation

Wave Motion, 2023
Seydi Battal Gazi Karakoc, Asit Saha, Samir Kumar Bhowmik, Derya Yıldırım Sucu   +3 more
openaire   +3 more sources

Optical solitons for the Kudryashov–Sinelshchikov equation by two analytic approaches

Optical and Quantum Electronics
Akhtar Hussain, Tarek F. Ibrahim, Fathea M. O. Birkea, B. R. Al-Sinan, Abeer M. Alotaibi   +4 more
openaire   +2 more sources

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

Optical and Quantum Electronics
Karmina K. Ali
openaire   +2 more sources

Invariant Subspace and Exact Solutions to the Generalized Kudryashov-Sinelshchikov Equation

Journal of Partial Differential Equations, 2023
Summary: In this research, invariant subspaces and exact solutions for the governing equation are obtained through the invariant subspace method, and the generalized second-order Kudryashov-Sinelshchikov equation is used to describe pressure waves in a liquid with bubbles. The governing equations are classified and transformed into a system of ordinary
Li, Jina, Qu, Gaizhu, Zhang, Jianlin, Ji, Xuehui   +3 more
openaire   +2 more sources

Global H4 solution for the fifth-order Kudryashov–Sinelshchikov–Olver equation

Journal of Hyperbolic Differential Equations, 2022
The fifth-order Kudryashov–Sinelshchikov–Olver equation is a nonlinear partial differential equation, which describes the interactions between short waves and long waves. Here, we prove the global existence of solutions for the Cauchy problem associated with this equation.
Coclite, Giuseppe Maria, Di Ruvo, Lorenzo   +1 more
openaire   +2 more sources

Existence results for the Kudryashov–Sinelshchikov–Olver equation

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020
AbstractThe Kudryashov–Sinelshchikov–Olver equation describes pressure waves in liquids with gas bubbles taking into account heat transfer and viscosity. In this paper, we prove the existence of solutions of the Cauchy problem associated with this equation.
Coclite, Giuseppe Maria, Di Ruvo, Lorenzo   +1 more
openaire   +1 more source

Resonant multi-soliton and multiple rogue wave solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equation

Physica Scripta, 2021
In this paper, we investigated various exact solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equation in a mixture of liquid and gas bubbles. At first, the linear superposition principle was introduced to obtain resonant multi-soliton solutions ...
Yueyang Feng, S. Bilige
semanticscholar   +1 more source