¹Department of Mathematics, Faculty of Arts and Sciences,
Near East University, 99138 Nicosia, Cyprus
²Department of Physics, Chemistry and Mathematics,
Alabama A&M University, Normal, AL 35762–4900, USA
³Department of Mathematics, King Abdulaziz University, Jeddah–21589, Saudi Arabia
⁴Department of Applied Mathematics, National Research Nuclear University,
31 Kashirskoe Hwy, Moscow–115409, Russian Federation
⁵Department of Mathematics and Applied Mathematics,
Sefako Makgatho Health Sciences University, Medunsa–0204, South Africa
⁶Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar

Abstract. GStudied in this work are embedded solitons with quadratic nonlinearity that includes the effect of spatio-temporal dispersion. Two integration schemes yield bright, dark, singular and combo singular soliton solutions from the continuous regime. The existence criteria for these solitons are also included.

Keywords: Χ⁽²⁾ and Χ⁽³⁾ nonlinearities, embedded solitons.

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References

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