On nonclassical symmetries, Painlevé analysis and singular, periodic and solitary wave solutions of generalized Hirota-Satsuma coupled KdV system

Manjeet,; Gupta, Rajesh Kumar

doi:10.1016/j.cnsns.2022.106710

Cited by 9 publications

(1 citation statement)

References 38 publications

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“…There are different methods that have been utilized to derive the analytic solutions of NLPDEs, like tanh method [1,2], Jacobi elliptic function method [3,4], G′/G method [5][6][7], F-expansion method [8,9], modified simple equation method [10,11], etc. The Lie classical method [12][13][14], nonclassical method [15][16][17][18][19][20], and direct method [21] can also be used to find the exact solutions of NLPDEs. Also, the fractional natural decomposition method [22] is a strong approach to finding iterative solutions to partial differential equations (PDEs).…”

Section: Introductionmentioning

confidence: 99%

Exact Solutions of Benjamin-Bona-Mahoney-Burgers Equation with Dual Power-Law Nonlinearity by Modified Exp-Function Method

Sharma,

Gupta

2024

Contemp. Math.

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In this work, the Benjamin-Bona-Mahoney-Burgers equation has been examined, which includes the dual power-law nonlinearity and diffraction term. By using the modified exp-function method, the exact solutions of the governing equation have been obtained. The resulting traveling wave solutions have been found to exhibit various characteristics, such as being dark solitons, periodic, and singular, depending on the values of certain constants. To further illustrate these solutions, 3D, 2D, and contour graphs have been displayed. To the best of our knowledge, this is the first time in literature that the dark solitons, periodic soliton, and singular soliton solutions of considered equations have been obtained by utilizing the modified exp-function method.

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