Work

Variational Analysis and Integration of the (2 + 1) Fourth-Order Time-Dependent Biharmonic Equation via Energy and Momentum Conservation

Year: 2025

Type: article

Abstract: We consider the fourth-order PDE uxxxx+2uxxyy+uyyyy−utt=h(u). The Lie and Noether symmetry generators are constructed, and we reduce the PDE to simpler ODEs. Furthermore, we use some well-known methods to compute the conserved vectors associated with the PDE. An analysis of reduced ordinary differential equations (ODEs), invariant solutions, and their physical interpretations is presented.

Source: Symmetry

DOI: 10.3390/sym17111845

Authors: Yasir Masood, A. H. Kara, F. D. Zaman, Ali Raza

Institutions: Government College University, Lahore, University of the Witwatersrand, Stellenbosch University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4415813985

FWCI:

Cites: 16

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