《非线性数学物理杂志》(JNMP)以信件、文章和评论文章的形式发表关于数学物理的基本数学和计算方法的研究论文。《非线性数学物理杂志》是一本致力于发表有关非线性问题在物理和数学中的描述、解决和应用的研究论文的数学杂志。主要研究课题有:数学物理的非线性方程量子代数与可积性离散可积系统与离散几何李群理论和李代数的应用非交换几何超几何和超可积系统可积性和不可积性逆散射法孤子方程的几何和扭量或理论的应用经典和量子许多身体问题变形和几何量化瞬子，单极子和量规理论微分几何和数学物理
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
