By investigating the concatenation model that incorporates a power-law nonlinearity, this paper provides an in-depth analysis, and the soliton solutions are derived. By utilizing the extended tanh-function technique and the enhanced Kudryashov’s scheme, bright and singular 1-solitons are yielded, as demonstrated in this paper. The conservation laws can be obtained through the multipliers approach, which subsequently exposes the conserved quantities.
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Arnous et al. (2023) studied this question.
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