Abundant solitons for the generalized Hirota–Satsuma couple KdV system with an efficient technique

Mohanty, Sanjaya K.

doi:10.1016/j.cjph.2024.02.017

Chinese Journal of Physics

2024

DOI: 10.1016/j.cjph.2024.02.017

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Abundant solitons for the generalized Hirota–Satsuma couple KdV system with an efficient technique

Sanjaya K. Mohanty

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2024

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Cited by 2 publications

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Investigation of Ion-Acoustic Waves in the Framework of the Schamel Burgers’ Equation Using Bifurcation Analysis

Sahoo,

Tomar,

Chand

et al. 2024

Int. J. Appl. Comput. Math

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Investigation of Ion-Acoustic Waves in the Framework of the Schamel Burgers’ Equation Using Bifurcation Analysis

Sahoo,

Tomar,

Chand

et al. 2024

Int. J. Appl. Comput. Math

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Fuzzy uncertainty modeling of generalized Hirota–Satsuma coupled Korteweg–de Vries equation

Vana,

Karunakar

2024

Physics of Fluids

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This article explores the solitary wave solutions of a generalized Hirota–Satsuma Coupled Korteweg–de Vries (HSCKdV) equation. The HSCKdV equation is a mathematical model that describes certain types of long waves, particularly those found in shallow water. The generalized HSCKdV equation is solved exactly using the Homotopy Perturbation Transform Method (HPTM). By applying this technique, the authors obtain solutions in the form of a convergent power series. These solutions offer an understanding of the characteristics of solitary waves within the domain of shallow water waves. The HSCKdV equation has been solved using the adomian decomposition method, and the results have been compared with those obtained from the HPTM. This comparison demonstrates the effectiveness of the HPTM in solving such nonlinear equations. Further, the HSCKdV equation is extended to a fuzzy version considering the initial condition as a fuzzy parameter. Uncertainty in the initial condition is addressed by representing it using triangular and trapezoidal fuzzy numbers. The generalized fuzzy HSCKdV equation is subsequently tackled using the fuzzy HPTM (FHPTM) providing fuzzy bound solutions. Using the FHPTM, we explain the fuzzy results, highlighting how the solitary wave splits into two solitary waves and noting that the lower and upper bound solutions are interchanged due to negative fuzzy results.

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Abundant solitons for the generalized Hirota–Satsuma couple KdV system with an efficient technique

Cited by 2 publications

References 31 publications

Investigation of Ion-Acoustic Waves in the Framework of the Schamel Burgers’ Equation Using Bifurcation Analysis

Investigation of Ion-Acoustic Waves in the Framework of the Schamel Burgers’ Equation Using Bifurcation Analysis

Fuzzy uncertainty modeling of generalized Hirota–Satsuma coupled Korteweg–de Vries equation

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