About this Research Topic
Nonlinear phenomena are mainly studied through solitons and strange attractors. In the universe, astrophysical objects are filled with mostly ionized and charged particles and particles move under the electromagnetic force field and are studied by waves. Waves carry energy and solitons carry the energy without a leak. Soliton theory is dealt with waves and characteristics of waves, like amplitude, breadth, propagation, and many other basic properties, whereas strange attractors lead to depict chaotic features. Soliton is nothing but a wave whose shape, and velocity are not changed even after a collision. Scientists are interested in revealing and studying the nonlinear features during collisions. Thus wave-wave interactions have become the most interesting features in the soliton theory in astrophysical plasmas.
Depending on the direction of the movement of solitons, three types of interactions have been seen. When two solitons move in the same direction with different amplitudes an 'overtaking collision’ occurs. If the direction is opposite, then a 'Head-on Collision' takes place. Finally, if solitons move along directions that make positive angles an ‘oblique collision’ can occur.
Overtaking collisions cannot take place for same amplitude waves, while the head-on collisions that have been studied so far are based on same amplitude waves.
This Research Topic focuses on the study of head-on collisions of solitons with different amplitude in astrophysical plasmas.
One-dimensional wave structures and their interactions are not able to provide all the nonlinear features related to nonlinear dynamics. In fact, their nature demands the study of nonlinear structures and their interactions in higher dimensional form, which is close to reality. This approach produces soliton structures, lump soliton structures, breathers solitons, and resonance phenomena in all directions, allowing the study of their interactions (i.e. lump-lump, breather-breather, lump-kink, lump-antikink interactions, etc.) in all directions. These investigations can reveal many undisclosed features that have the potential to enrich the plasma research field.
This research Topic seeks contributions that help to overcome the limitations of current approaches, addressing the following aspects:
1) Solitons behave like particles and can be considered energy packets. They retain their energy even after a collision, but what happens at the time of collision is still not clear. Weak turbulence may be playing a role
2) Overtaking and head-on collisions are not studied through other nonlinear evolution equations (NEEs) except for Korteweg-de Vries (KdV) or modified KdV equations. Various types of wave interaction can be studied in the framework of different NEEs
3) Different NEEs may be obtained employing reductive perturbation techniques from the normalized set of governing equations which canonically produce different soliton structures (lump, breathers, rogue waves, etc.), whose interactions are still not studied in plasma literature
4) Chaos and transition of solitons interaction to chaos in the presence of external forces or neutral particles are yet to be explored.
We welcome submissions of the following article types: Brief Research Report, General Commentary, Review and Mini Review, Original Research and Perspective.
Depending on the direction of the movement of solitons, three types of interactions have been seen. When two solitons move in the same direction with different amplitudes an 'overtaking collision’ occurs. If the direction is opposite, then a 'Head-on Collision' takes place. Finally, if solitons move along directions that make positive angles an ‘oblique collision’ can occur.
Overtaking collisions cannot take place for same amplitude waves, while the head-on collisions that have been studied so far are based on same amplitude waves.
This Research Topic focuses on the study of head-on collisions of solitons with different amplitude in astrophysical plasmas.
One-dimensional wave structures and their interactions are not able to provide all the nonlinear features related to nonlinear dynamics. In fact, their nature demands the study of nonlinear structures and their interactions in higher dimensional form, which is close to reality. This approach produces soliton structures, lump soliton structures, breathers solitons, and resonance phenomena in all directions, allowing the study of their interactions (i.e. lump-lump, breather-breather, lump-kink, lump-antikink interactions, etc.) in all directions. These investigations can reveal many undisclosed features that have the potential to enrich the plasma research field.
This research Topic seeks contributions that help to overcome the limitations of current approaches, addressing the following aspects:
1) Solitons behave like particles and can be considered energy packets. They retain their energy even after a collision, but what happens at the time of collision is still not clear. Weak turbulence may be playing a role
2) Overtaking and head-on collisions are not studied through other nonlinear evolution equations (NEEs) except for Korteweg-de Vries (KdV) or modified KdV equations. Various types of wave interaction can be studied in the framework of different NEEs
3) Different NEEs may be obtained employing reductive perturbation techniques from the normalized set of governing equations which canonically produce different soliton structures (lump, breathers, rogue waves, etc.), whose interactions are still not studied in plasma literature
4) Chaos and transition of solitons interaction to chaos in the presence of external forces or neutral particles are yet to be explored.
We welcome submissions of the following article types: Brief Research Report, General Commentary, Review and Mini Review, Original Research and Perspective.
Keywords: Solitons, Head-on Collision, Overtaking Collision, Interaction, Waves, Space Plasmas, Astrophysical Plasmas
Important Note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review.
