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非线性偏微分方程的在物理学、气动力学、流体力学、大气物理、海洋物理、爆炸物理、化学、 … 非线性偏微分方程的在物理学、气动力学、流体力学、大气物理、海洋物理、爆炸物理、化学、生理学、生物学、生态学等领域都有重要的应用。非线性偏微分方程的研究，是当前微分方程研究的中心。求解非线性偏微分方程比求解线性偏微分方程，难度大的多，大多数非线性偏微分方程只能依靠数值解法。但多年来数学家们发现了一些行之有效的求解非线性偏微分方程的构造性解法，如反散射法、达布变换法，tanh、雅可比函数展开法等，得出非线性偏微分方程的解析解。解非线性偏微分方程，过程复杂，多数得力于Maple、Mathematica、Matlab等商用计算机代数系統。 已知的非线性偏微分方程，数目不下3000余种，但有名的不过一百多种，多以发现者命名。已知的非线性偏微分方程，数目不下3000余种，但有名的不过一百多种，多以发现者命名。
, See also Nonlinear partial differential equation, List of partial differential equation topics and List of nonlinear ordinary differential equations.
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See also Nonlinear partial differential equation, List of partial differential equation topics and List of nonlinear ordinary differential equations.
, 非线性偏微分方程的在物理学、气动力学、流体力学、大气物理、海洋物理、爆炸物理、化学、 … 非线性偏微分方程的在物理学、气动力学、流体力学、大气物理、海洋物理、爆炸物理、化学、生理学、生物学、生态学等领域都有重要的应用。非线性偏微分方程的研究，是当前微分方程研究的中心。求解非线性偏微分方程比求解线性偏微分方程，难度大的多，大多数非线性偏微分方程只能依靠数值解法。但多年来数学家们发现了一些行之有效的求解非线性偏微分方程的构造性解法，如反散射法、达布变换法，tanh、雅可比函数展开法等，得出非线性偏微分方程的解析解。解非线性偏微分方程，过程复杂，多数得力于Maple、Mathematica、Matlab等商用计算机代数系統。 已知的非线性偏微分方程，数目不下3000余种，但有名的不过一百多种，多以发现者命名。已知的非线性偏微分方程，数目不下3000余种，但有名的不过一百多种，多以发现者命名。
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| rdfs:label |
List of nonlinear partial differential equations
, 非线性偏微分方程列表
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