ResearchBenchmarksPDE solution prediction and conservation on KdV EquationPDE solution prediction and conservation on KdV EquationFollow0.0735Error uPINN-Proj0.072720.0779850.083250.088515Nov 12, 2025Evaluation resultsMethodMethodLinksError uConservation Error cLConservation Error cQPINN-ProjConstraint Type=QuadraticConstraint Type=Quadratic2025.110.0735—0PINN-ProjConstraint Type=LinearConstraint Type=Linear2025.110.08180—PINN-ProjConstraint Type=BothConstraint Type=Both2025.110.0930.00030.0005