Quasi-periodic wave solutions and two-wave solutions of the KdV–Sawada–Kotera–Ramani equation

Zhang, Lijun; Khalique, Chaudry Masood

doi:10.1007/s11071-016-3168-4

Cited by 12 publications

(1 citation statement)

References 18 publications

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“…Through the generalized auxiliary equation method, many new exact solutions to equation (1) are obtained including Jacobi elliptic function solutions, the Weierstrass elliptic function solutions and rational solutions [26]. Solitary wave solutions, periodic and quasi-periodic traveling wave solutions are constructed by reducing the KdVSKR equation into two systems of ordinary differential equation [27]. The equation (2) can be obtained by extending the y dimension from equation (1).…”

Section: Introductionmentioning

confidence: 99%

New interaction solutions of the KdV-Sawada-Kotera-Ramani equation in various dimensions

Chen

Tang

2023

Phys. Scr.

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In this paper, the KdV-Sawada-Kotera-Ramani(KdVSKR) equation in various dimensions are studied. The bilinear form of the (1+1)-dimensional and (2+1)-dimensional KdVSKR equation are obtained by the independent transformation. Based on the Hirota bilinear method, we constructed new interaction solutions by studying the unknown nonlinear differential equations for the corresponding parameters. Three dimensional plots, density plots and contour plots provide us with a better understanding of visualizing the dynamicbehavior of solutions.

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Section: Introductionmentioning

confidence: 99%

New interaction solutions of the KdV-Sawada-Kotera-Ramani equation in various dimensions

Chen

Tang

2023

Phys. Scr.

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Analytical study of rational and double-soliton rational solutions governed by the KdV–Sawada–Kotera–Ramani equation with variable coefficients

Osman

2017

Nonlinear Dyn

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On $$\varvec{N}$$ N -mixed-type soliton propagation in dispersive nonautonomous long waves with waveguides

Abdel‐Gawad

Tantawy

2017

Nonlinear Dyn

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Quasi-periodic wave solutions and two-wave solutions of the KdV–Sawada–Kotera–Ramani equation

Cited by 12 publications

References 18 publications

New interaction solutions of the KdV-Sawada-Kotera-Ramani equation in various dimensions

New interaction solutions of the KdV-Sawada-Kotera-Ramani equation in various dimensions

Analytical study of rational and double-soliton rational solutions governed by the KdV–Sawada–Kotera–Ramani equation with variable coefficients

On $$\varvec{N}$$ N -mixed-type soliton propagation in dispersive nonautonomous long waves with waveguides

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