《非線性數學物理雜志》(JNMP)以信件、文章和評論文章的形式發表關于數學物理的基本數學和計算方法的研究論文。《非線性數學物理雜志》是一本致力于發表有關非線性問題在物理和數學中的描述、解決和應用的研究論文的數學雜志。主要研究課題有:數學物理的非線性方程量子代數與可積性離散可積系統與離散幾何李群理論和李代數的應用非交換幾何超幾何和超可積系統可積性和不可積性逆散射法孤子方程的幾何和扭量或理論的應用經典和量子許多身體問題變形和幾何量化瞬子，單極子和量規理論微分幾何和數學物理

Journal of Nonlinear Mathematical Physics (JNMP) publishes research papers on fundamental mathematical and computational methods in mathematical physics in the form of Letters, Articles, and Review Articles. Journal of Nonlinear Mathematical Physics is a mathematical journal devoted to the publication of research papers concerned with the description, solution, and applications of nonlinear problems in physics and mathematics. The main subjects are: Nonlinear Equations of Mathematical PhysicsQuantum Algebras and IntegrabilityDiscrete Integrable Systems and Discrete GeometryApplications of Lie Group Theory and Lie AlgebrasNon-Commutative GeometrySuper Geometry and Super Integrable SystemIntegrability and Nonintegrability, Painleve AnalysisInverse Scattering MethodGeometry of Soliton Equations and Applications of Twistor TheoryClassical and Quantum Many Body ProblemsDeformation and Geometric QuantizationInstanton, Monopoles and Gauge TheoryDifferential Geometry and Mathematical Physics