On the Linear Dependence of Functions of Several Variables, and Certain Completely Integrable Systems of Partial Differential Equations

G. M. Green

doi:10.1073/pnas.2.4.209

On the Linear Dependence of Functions of Several Variables, and Certain Completely Integrable Systems of Partial Differential Equations

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.2.4.209 ◽

1916 ◽

Vol 2 (4) ◽

pp. 209-214

Author(s):

G. M. Green

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Integrable Systems ◽

Linear Dependence ◽

Completely Integrable Systems ◽

Partial Differential ◽

Completely Integrable ◽

Several Variables

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The linear dependence of functions of several variables, and completely integrable systems of homogeneous linear partial differential equations

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1916-1501055-6 ◽

1916 ◽

Vol 17 (4) ◽

pp. 483-483 ◽

Cited By ~ 1

Author(s):

Gabriel M. Green

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Integrable Systems ◽

Linear Dependence ◽

Completely Integrable Systems ◽

Partial Differential ◽

Completely Integrable ◽

Linear Partial Differential Equations ◽

Several Variables ◽

Homogeneous Linear

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Meromorphic solutions of nonlinear partial differential equations and many‐particle completely integrable systems

Journal of Mathematical Physics ◽

10.1063/1.524048 ◽

1979 ◽

Vol 20 (12) ◽

pp. 2416-2422 ◽

Cited By ~ 25

Author(s):

D. V. Chudnovsky

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Integrable Systems ◽

Nonlinear Partial Differential Equations ◽

Meromorphic Solutions ◽

Completely Integrable Systems ◽

Partial Differential ◽

Completely Integrable

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The Riemann Adjoints of Completely Integrable Systems of Partial Differential Equations

American Journal of Mathematics ◽

10.2307/2370827 ◽

1924 ◽

Vol 46 (2) ◽

pp. 117

Author(s):

Cyril A. Nelson

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Integrable Systems ◽

Completely Integrable Systems ◽

Partial Differential ◽

Completely Integrable

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Integrable Systems of Partial Differential Equations

Aspects of Integrability of Differential Systems and Fields - SpringerBriefs in Physics ◽

10.1007/978-3-030-35002-4_6 ◽

2019 ◽

pp. 71-83

Author(s):

Costas J. Papachristou

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Integrable Systems ◽

Partial Differential

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Chapter 7 Equations with Several Unknown Functions of Several Variables. Reduction to Partial Differential Equations

Mathematics in Science and Engineering - Lectures on Functional Equations their and Applications ◽

10.1016/s0076-5392(09)60213-7 ◽

1966 ◽

pp. 301-345

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Several Variables

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A New Approach to Completely Integrable Partial Differential Equations by Means of the Singularity Analysis

Journal of the Physical Society of Japan ◽

10.1143/jpsj.54.51 ◽

1985 ◽

Vol 54 (1) ◽

pp. 51-56 ◽

Cited By ~ 12

Author(s):

Hitoshi Harada ◽

Shin'ichi Oishi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Singularity Analysis ◽

Partial Differential ◽

New Approach ◽

Completely Integrable

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Integrable systems of partial differential equations determined by structure equations and Lax pair

Physics Letters A ◽

10.1016/j.physleta.2009.11.042 ◽

2010 ◽

Vol 374 (4) ◽

pp. 501-503 ◽

Cited By ~ 4

Author(s):

Paul Bracken

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Integrable Systems ◽

Lax Pair ◽

Partial Differential ◽

Structure Equations

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A New Approach to Completely Integrable Partial Differential Equations by Means of the Singularity Analysis

Dynamical Problems in Soliton Systems - Springer Series in Synergetics ◽

10.1007/978-3-662-02449-2_10 ◽

1985 ◽

pp. 62-66

Author(s):

Hitoshi Harada ◽

Shin’ichi Oishi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Singularity Analysis ◽

Partial Differential ◽

New Approach ◽

Completely Integrable

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Bifurcations of completely integrable 2-variable first-order partial differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.03.020 ◽

2011 ◽

Vol 381 (2) ◽

pp. 638-648

Author(s):

Jingbo Xu ◽

Liang Chen ◽

Weizhi Sun

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

First Order ◽

Completely Integrable

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Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations

Annales de la faculté des sciences de Toulouse Mathématiques ◽

10.5802/afst.1104 ◽

2005 ◽

Vol 14 (4) ◽

pp. 593-608 ◽

Cited By ~ 4

Author(s):

Werner Balser

Keyword(s):

Partial Differential Equations ◽

Power Series ◽

Differential Equations ◽

Singular Perturbation ◽

Singular Perturbation Problems ◽

Partial Differential ◽

Several Variables ◽

Perturbation Problems

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