Meromorphic Solutions for a Class of Two-Dimensional Quasilinear Hyperbolic Conservation Laws
Year: 2026
Type: article
Abstract: Quasilinear hyperbolic conservation law equations are of great significance in mathematical physics. Characterizing their meromorphic solutions provides valuable insight into the qualitative behaviors of these equations. In this paper, we investigate a two-dimensional quasilinear hyperbolic conservation law equation. By virtue of Nevanlinna theory and rigorous analytic arguments, we derive the explicit forms of its meromorphic solutions. Furthermore, under suitable initial conditions, we analyze the dynamical properties of the obtained soliton-type solutions.
Source: Axioms
Authors: Xujie Shi, Zhenqing Wang, Dehao Kong
Institution: Nanjing University of Posts and Telecommunications
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: W7225651534
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