Traveling wave solutions of a class of fifth order partial differential equations

Jia-Xin Shang; Wen-He Li

doi:10.1117/12.2627475

22 April 2022 Traveling wave solutions of a class of fifth order partial differential equations

Jia-Xin Shang, Wen-He Li

Proceedings Volume 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021); 1216338 (2022) https://doi.org/10.1117/12.2627475
Event: International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 2021, Nanjing, China

Abstract

Nonlinear differential equations are widely used in many fields such as physics, electromagnetics and mechanics, and its solution is always a very important research topic. In Chapter 2, we take solving higher-order nonlinear evolution equations as an example, and use the trial equation method to solve the equation. In Chapter 3, the following fifth order nonlinear equations are solved by trial equation method u_t+ α_x² + βuu_xx + μu_xx + u_xxx + P(u)]_x = 0, where α, β, μ are constant parameters and P(u) is a cubic polynomial of u : P(u) pu qu² ru³ , p , q and r are constants. The specific method is to transform the equation by traveling wave, simplify the equation after traveling wave transformation, and then integrate the equation; Secondly, the trial equation is constructed and transformed into elementary integral form; Finally, the traveling wave solutions of the partial differential equations are obtained by the polynomial complete discriminant system.

Citation Download Citation

Jia-Xin Shang and Wen-He Li "Traveling wave solutions of a class of fifth order partial differential equations", Proc. SPIE 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 1216338 (22 April 2022); https://doi.org/10.1117/12.2627475

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