Dynamics of nonlinear time fractional equations in shallow water waves
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Publication:6570205
DOI10.1007/S10773-024-05634-7zbMATH Open1541.35429MaRDI QIDQ6570205
Publication date: 10 July 2024
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
conformable fractional derivativeanalytical techniqueB-spline schemesnonlinear time fractional equations
KdV equations (Korteweg-de Vries equations) (35Q53) Fractional partial differential equations (35R11)
Cites Work
- Moving boundary problems for the Harry Dym equation and its reciprocal associates
- Analytical investigation of nonlinear fractional Harry Dym and Rosenau-Hyman equation via a novel transform
- Integration of the periodic Harry Dym equation with a source
- A new class of solutions for the multi-component extended Harry Dym equation
- Spectral analysis and long-time asymptotics for the Harry Dym-type equation with the Schwartz initial data
- Geometry of inhomogeneous Poisson brackets, multicomponent Harry Dym hierarchies, and multicomponent Hunter-Saxton equations
- The fractional natural decomposition method: theories and applications
- ANALYTICAL APPROXIMATE SOLUTIONS OF (N + 1)-DIMENSIONAL FRACTAL HARRY DYM EQUATIONS
- On the Bäcklund transformation of a generalized Harry Dym type equation
- Integrability and BRST invariance from BF topological theory
- From decoupled integrable models to coupled ones via a deformation algorithm*
- Soliton propagation under diffusive and nonlinear effects in physical systems; \((1+1)\)-dimensional \(\mathbb{MNW}\) integrable equation
- Deformation conjecture: deforming lower dimensional integrable systems to higher dimensional ones by using conservation laws
- Numerous accurate and stable solitary wave solutions to the generalized modified equal-width equation
- Modeling wave propagation with gravity and surface tension: soliton solutions for the generalized Hietarinta-type equation
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