Invariant analysis with conservation law of time fractional coupled Ablowitz–Kaup–Newell–Segur equations in water waves
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Publication:5104322
DOI10.1080/17455030.2018.1540899zbMath1504.35625OpenAlexW2900644305WikidataQ128916038 ScholiaQ128916038MaRDI QIDQ5104322
Publication date: 9 September 2022
Published in: Waves in Random and Complex Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17455030.2018.1540899
similarity reductionLie symmetry methodformal Lagrangianconservation vectorErdélyi-Kober differential operator
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Fractional partial differential equations (35R11)
Related Items (3)
The time‐fractional generalized Z‐K equation: Analysis of Lie group, similarity reduction, conservation laws, and explicit solutions ⋮ Invariant analysis, conservation laws, and some exact solutions for \((2+1)\)-dimension fractional long-wave dispersive system ⋮ Invariant analysis, analytical solutions, and conservation laws for two-dimensional time fractional Fokker-Planck equation
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