BÄCKLUND TRANSFORMATION AND DIVERSE EXACT EXPLICIT SOLUTIONS OF THE FRACTAL COMBINED KdV–mKdV EQUATION

DOI10.1142/S0218348X22501894OpenAlexW4296354731MaRDI QIDQ5880705

Kang-Jia Wang

Publication date: 6 March 2023

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22501894

zbMATH Keywords

homogeneous balance methodexact explicit solutionsfractal two-scale transformHe's fractal derivativefractal Bäcklund transformation

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Fractals (28A80) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07) Soliton solutions (35C08) Trigonometric solutions to PDEs (35C09)

Related Items (5)

PERIODIC WAVE STRUCTURE OF THE FRACTAL GENERALIZED FOURTH-ORDER BOUSSINESQ EQUATION TRAVELING ALONG THE NON-SMOOTH BOUNDARY ⋮ FRACTAL ANALYSIS FOR THERMAL CONDUCTIVITY OF DUAL POROUS MEDIA EMBEDDED WITH ASYMMETRIC TREE-LIKE BIFURCATION NETWORKS ⋮ N-SOLITON, BREATHER, LUMP SOLUTIONS AND DIVERSE TRAVELING WAVE SOLUTIONS OF THE FRACTIONAL (2 + 1)-DIMENSIONAL BOUSSINESQ EQUATION ⋮ Abundant soliton structures to the \((2+1)\)-dimensional Heisenberg ferromagnetic spin chain dynamical model ⋮ Existence of traveling waves in a delayed convecting shallow water fluid model

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