A NEW (3+1)-DIMENSIONAL KDV EQUATION AND MKDV EQUATION WITH THEIR CORRESPONDING FRACTIONAL FORMS

DOI10.1142/S0218348X22500815zbMath1504.35456OpenAlexW4286948269MaRDI QIDQ5086264

Abdul-Majid Wazwaz, Gang-Wei Wang

Publication date: 5 July 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22500815

zbMATH Keywords

soliton solutionszero curvature equationgroup invariant solutionssymmetries and conservation lawsKdV equation and mKdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08) Fractional partial differential equations (35R11)

Related Items (4)

The geophysical KdV equation: its solitons, complexiton, and conservation laws ⋮ Symmetries, reductions and different types of travelling wave solutions for symmetric coupled Burgers equations ⋮ Multi-solutions with specific geometrical wave structures to a nonlinear evolution equation in the presence of the linear superposition principle ⋮ An examination of complex fractional order physical phenomena in IOPD controller design

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