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1
The superposition principle for the Lie type first-order PDEs
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Article
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The superposition principle for the Lie type first-order PDEs

Odzijewicz, A. ; Grundland, A.M.

Reports on mathematical physics, 2000-04, Vol.45 (2), p.293-306 [Peer Reviewed Journal]

Elsevier Ltd

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2
A Class of PDEs with Nonlinear Superposition Principles
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A Class of PDEs with Nonlinear Superposition Principles

Peng, Li ; Keying, Liu ; Zuliang, Pan ; Weizhou, Zhong Rathish Kumar, B. V.

Journal of Applied Mathematics, 2012-01, Vol.2012, p.1-15 [Peer Reviewed Journal]

New York: Hindawi Limiteds

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3
Stratified Lie systems: theory and applications
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Article
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Stratified Lie systems: theory and applications

Cariñena, J F ; de Lucas, J ; Wysocki, D

Journal of physics. A, Mathematical and theoretical, 2022-09, Vol.55 (38), p.385206 [Peer Reviewed Journal]

IOP Publishing

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4
Coarse-scale PDEs from fine-scale observations via machine learning
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Coarse-scale PDEs from fine-scale observations via machine learning

Lee, Seungjoon ; Kooshkbaghi, Mahdi ; Spiliotis, Konstantinos ; Siettos, Constantinos I. ; Kevrekidis, Ioannis G.

Chaos (Woodbury, N.Y.), 2020-01, Vol.30 (1), p.013141-013141 [Peer Reviewed Journal]

United States: American Institute of Physics

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5
Multiple rogue wave solutions and the linear superposition principle for a (3 + 1)‐dimensional Kadomtsev–Petviashvili–Boussinesq‐like equation arising in energy distributions
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Multiple rogue wave solutions and the linear superposition principle for a (3 + 1)‐dimensional Kadomtsev–Petviashvili–Boussinesq‐like equation arising in energy distributions

Manafian, Jalil

Mathematical methods in the applied sciences, 2021-12, Vol.44 (18), p.14079-14093 [Peer Reviewed Journal]

Freiburg: Wiley Subscription Services, Inc

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6
Reductions and Conservation Laws of a Generalized Third-Order PDE via Multi-Reduction Method
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Reductions and Conservation Laws of a Generalized Third-Order PDE via Multi-Reduction Method

Bruzón, María ; de la Rosa, Rafael ; Gandarias, María ; Tracinà, Rita

Mathematics (Basel), 2022-03, Vol.10 (6), p.954 [Peer Reviewed Journal]

Basel: MDPI AG

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7
A multidimensional superposition principle: numerical simulation and analysis of soliton invariant manifolds I
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A multidimensional superposition principle: numerical simulation and analysis of soliton invariant manifolds I

Alexeyev, Alexander A.

Journal of nonlinear mathematical physics, 2007, Vol.14 (2), p.188-229 [Peer Reviewed Journal]

Singapore: Springer Nature B.V

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8
Towards a new friction model for shallow water equations through an interactive viscous layer
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Towards a new friction model for shallow water equations through an interactive viscous layer

James, François ; Lagrée, Pierre-Yves ; Le, Minh H. ; Legrand, Mathilde

ESAIM. Mathematical modelling and numerical analysis, 2019-01, Vol.53 (1), p.269-299 [Peer Reviewed Journal]

Les Ulis: EDP Sciences

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9
A Quasi-Lie Schemes Approach to Second-Order Gambier Equations
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A Quasi-Lie Schemes Approach to Second-Order Gambier Equations

Cariñena, José F.

Symmetry, integrability and geometry, methods and applications, 2013-01, Vol.9, p.026 [Peer Reviewed Journal]

Kiev: National Academy of Sciences of Ukraine

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10
Learning PDE to Model Self-Organization of Matter
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Learning PDE to Model Self-Organization of Matter

Brandao, Eduardo ; Colombier, Jean-Philippe ; Duffner, Stefan ; Emonet, Rémi ; Garrelie, Florence ; Habrard, Amaury ; Jacquenet, François ; Nakhoul, Anthony ; Sebban, Marc

Entropy (Basel, Switzerland), 2022-08, Vol.24 (8), p.1096 [Peer Reviewed Journal]

Basel: MDPI AG

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