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An application of the decomposition method for the KdVB equation

https://doi.org/10.1016/s0096-3003(03)00566-6
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18/18 checkable references clean · checked 2026-08-10

Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

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The 18 checked references that resolve
resolves10.1063/1.1664873
Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
resolves10.1063/1.1762081
Unified Shock Profile in a Plasma
resolves10.1063/1.1693764
Shallow Water Waves on a Viscous Fluid—The Undular Bore
resolves10.1002/cpa.3160270108
Korteweg‐devries equation and generalizations. VI. methods for exact solution
resolves10.1002/(SICI)1099-1476(19980525)21:8<719::AID-MMA971>3.0.CO;2-5
Bäcklund transformations: exact solutions for the KdV and the Calogero-Degasperis-Fokas mKdV equations
resolves10.1016/S0375-9601(02)00652-7
An application for a generalized KdV equation by the decomposition method
resolves10.1080/00207169908804874
On the solution of a korteweg-de vries like equation by the decomposition method
resolves10.1016/S0096-3003(98)10022-X
An efficient numerical method for solving the Korteveg–de Vries equation in a class of discontinuous functions
resolves10.1016/S0045-7825(99)00142-5
A quintic B-spline finite elements scheme for the KdVB equation
resolves10.1002/cpa.3160030302
The partial differential equation u<sub>t</sub> + uu<sub>x</sub> = μ<sub>xx</sub>
resolves10.1016/0045-7825(92)90088-2
A collocation solution for Burgers' equation using cubic B-spline finite elements
resolves10.1016/0022-247X(88)90170-9
A review of the decomposition method in applied mathematics
resolves10.1016/0895-7177(96)00080-5
Adomian's polynomials for nonlinear operators
resolves10.1016/S0096-3003(99)00063-6
A new algorithm for calculating adomian polynomials for nonlinear operators
resolves10.1016/S0375-9601(98)00547-7
A note on the homogeneous balance method
resolves10.1108/eb005812
Convergence of Adomian's Method
resolves10.1016/0893-9659(90)90042-A
Nonlinear dynamical systems: On the accuracy of adomian's decomposition method
resolves10.1016/0895-7177(93)90233-O
Decomposition methods: A new proof of convergence
The 3 references without a DOI — listed, not checked
no DOI — not checkedA nonlinear equation incorporating damping and dispersion
no DOI — not checked10.1016/S0096-3003(03)00566-6_BIB11
no DOI — not checked10.1016/S0096-3003(03)00566-6_BIB14
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