Extracting novel solutions to nonlinear evolution equations (NLEE's) is the ultimate goal of most analytical methods including inverse scattering transformations, Darboux transformations and Backlund transformations. These methods are mainly based on deriving the Lax pair for NLEE's, which is a pair of linear equations associated with the NLEE. In this paper, based on Ablowitz-Kaup-Newell-Segur (AKNS) formalism, we derive Lax pair for some NLEE's that appear in many engineering applications. This formalism ensures the derivation of Lax pair for many NLEE's with higher-order and higher dimensions.
Khattab, M. A. (2025). On the Derivation of Lax Pair Via Ablowitz-Kaup-Newell-Segur Formalism for Some Nonlinear Evolution Equations: A review. Benha Journal of Engineering Science and Technology, 2(1), 145-153. doi: 10.21608/bjest.2025.446391
MLA
Mahmoud A. Khattab. "On the Derivation of Lax Pair Via Ablowitz-Kaup-Newell-Segur Formalism for Some Nonlinear Evolution Equations: A review", Benha Journal of Engineering Science and Technology, 2, 1, 2025, 145-153. doi: 10.21608/bjest.2025.446391
HARVARD
Khattab, M. A. (2025). 'On the Derivation of Lax Pair Via Ablowitz-Kaup-Newell-Segur Formalism for Some Nonlinear Evolution Equations: A review', Benha Journal of Engineering Science and Technology, 2(1), pp. 145-153. doi: 10.21608/bjest.2025.446391
VANCOUVER
Khattab, M. A. On the Derivation of Lax Pair Via Ablowitz-Kaup-Newell-Segur Formalism for Some Nonlinear Evolution Equations: A review. Benha Journal of Engineering Science and Technology, 2025; 2(1): 145-153. doi: 10.21608/bjest.2025.446391
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