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nlin.PS2025
Kink-antikink soliton solutions of the nonlinear Klein-Gordon equation on branched structures
Q. U. Asadov, K. K. Sabirov, J. R. Yusupov
In this paper, we investigate the nonlinear Klein-Gordon equation on a metric star graph with three semi-infinite bonds. At the branching point, we impose a weighted continuity con…
nlin.SI2025
Burgers equation on networks: Metric graph based approach
K. K. Sabirov, Kh. Sh. Matyokubov, D. U. Matrasulov
Weconsider Burgers equation on metric graphs for simplest topologies such as star, loops, and tree graphs. Exact traveling wave solutions are obtained for the vertex boundary condi…