Newell-Whitehead-Segel Equation: An Exact, Generalized Solution
Luisiana Cundin
TL;DR
This paper presents an exact, generalized solution to the nonlinear Newell-Whitehead-Segel equation applicable across multiple dimensions and nonlinear powers, advancing analytical methods for complex PDEs.
Contribution
It provides the first exact, comprehensive solution to the Newell-Whitehead-Segel equation for various dimensions and nonlinearities, expanding theoretical understanding.
Findings
Exact solutions derived for 1D to 3D cases
Applicable to arbitrary powers of nonlinearity
Enhances analytical tools for nonlinear PDEs
Abstract
Derivation of an exact, general solution to Newell-Whitehead-Segel transient, nonlinear partial differential equation is provided for one to three dimensional cases, also, arbitrary power of nonlinearity.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Quantum Mechanics and Applications · Mathematics and Applications