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In this paper, we study the dynamics of an interesting class of vectorsolitons in the long wave-short wave resonance interaction (LSRI) system. Themodel that we consider here describes the nonlinear interaction of thelong-wave and two-short waves and it generically appears in several physicalsettings. To derive this class of nondegenerate vector soliton solutions weadopt the Hirota bilinear method with the more general form of admissible seedsolutions with nonidentical distinct propagation constants. We express theresultant fundamental as well as multi-soliton solutions in a compact way usingGram-determinants. The general fundamental vector soliton solution possessesseveral interesting properties. For instance, the double-hump or a single-humpprofile structure including a special flattop profile form results in when thesoliton propagates in all the components with identical velocities.Interestingly, in the case of nonidentical velocities, the soliton number isincreased to two in the long-wave (LW) component, while a single-humped solitonpropagates in the two short-wave (SW) components. We establish through adetailed analysis that the nondegenerate multi-solitons in contrast to thealready known vector solitons (with identical wave numbers) can undergo threetypes of elastic collision scenarios: (i) shape preserving, (ii) shapealtering, and (iii) a novel shape changing collision, depending on the choiceof the soliton parameters. In addition, we point out the coexistence ofnondegenerate and degenerate solitons simultaneously along with the associatedphysical consequences. We also indicate the physical realizations of thesegeneral vector solitons in nonlinear optics, hydrodynamics, and Bose-Einsteincondensates. Our results are generic and they will be useful in these physicalsystems and other closely related systems including plasma physics.

Dynamics of nondegenerate solitons in long-wave short-wave resonance interaction system