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Abstract In this paper, we investigate the extended Caudrey–Dodd–Gibbon equation. Using N-soliton solution and a novel velocity resonance condition can generate soliton molecules of the the extended Caudrey–Dodd–Gibbon equation. Further,… Click to show full abstract
Abstract In this paper, we investigate the extended Caudrey–Dodd–Gibbon equation. Using N-soliton solution and a novel velocity resonance condition can generate soliton molecules of the the extended Caudrey–Dodd–Gibbon equation. Further, by changing the distance between two solitons in a soliton molecule, each single soliton molecule can transform an asymmetric soliton. Also, we observed the collision between one and two soliton solution with a soliton molecule. Next, according to the N-soliton solutions, several novel types of mixed breather-soliton molecule solution can be generated. Finally, some related pictures that mentioned above are presented.
Journal Title: Journal of Geometry and Physics
Year Published: 2021
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