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References from Double Darboux construction of kink–breathers on cnoidal Gardner waves. Local targets link to admitted publications; unresolved targets remain external evidence.
Unresolved reference
1984 · External reference
Unresolved reference
2003 · External reference
Cnoidal waves as exact sums of repeated solitary waves
10.1137/0144066 · 1984 · External reference
Nonlinear differential identities for cnoidal waves
10.1002/mana.201300233 · 2014 · External reference
KdV breathers on a cnoidal wave background
10.1088/1751-8121/acc6a8 · 2023 · External reference
Dark breathers on a snoidal wave background in the defocusing mKdV equation
10.1007/s11005-024-01844-6 · 2024 · External reference
Kink breathers on a traveling wave background in the defocusing modified Korteweg–de Vries equation
10.1017/jnw.2025.10015 · 2025 · External reference
Wave breaking, dispersive shock wave, and phase shift for the defocusing complex modified KdV equation
10.1063/5.0231741 · 2024 · External reference
Physics-guided multistage neural network: a physically guided network for step initial values and dispersive shock wave phenomena
10.1103/physreve.110.065307 · 2024 · External reference
Method for solving the Korteweg–de Vries equation
10.1103/physrevlett.19.1095 · 1967 · External reference
Using symmetries to investigate the complete integrability, solitary wave solutions and solitons of the Gardner equation
10.3390/mca29050091 · 2024 · External reference
Undular bore theory for the Gardner equation
10.1103/physreve.86.036605 · 2012 · External reference
Rational solitons in the Gardner-like models
10.3390/fluids7090294 · 2022 · External reference
On the modified Gardner type equation and its time fractional form
10.1016/j.chaos.2021.111694 · 2022 · External reference
A non-autonomous Gardner equation and its integrability: solitons, positons and breathers
10.1016/j.chaos.2023.114089 · 2023 · External reference
New solutions of Gardner’s equation using two analytical methods
10.3389/fphy.2019.00202 · 2019 · External reference
Exact solutions of Gardner equations through tanh–coth method
10.4236/am.2016.718186 · 2016 · External reference
Abundant solitary wave solutions of Gardner’s equation using three effective integration techniques
10.3934/math.2023413 · 2023 · External reference
Painlevé analysis and hybrid N-soliton solutions of the Gardner equation with time dependent coefficients
10.1007/s44198-025-00330-4 · 2025 · External reference
Symmetry reduction related with nonlocal symmetry for Gardner equation
10.1016/j.cnsns.2016.06.017 · 2017 · External reference
Integrals of nonlinear equations of evolution and solitary waves
10.1002/cpa.3160210503 · 1968 · External reference
Exponential time differencing for stiff systems
10.1006/jcph.2002.6995 · 2002 · External reference
Fourth-order time-stepping for stiff PDEs
10.1137/s1064827502410633 · 2005 · External reference
Integrals of nonlinear equations of evolution and solitary waves
10.1002/cpa.3160210503 · ExternalCitation · doi-reference
Nonlinear differential identities for cnoidal waves
10.1002/mana.201300233 · ExternalCitation · doi-reference
Exponential time differencing for stiff systems
10.1006/jcph.2002.6995 · ExternalCitation · doi-reference
Dark breathers on a snoidal wave background in the defocusing mKdV equation
10.1007/s11005-024-01844-6 · ExternalCitation · doi-reference
Painlevé analysis and hybrid N-soliton solutions of the Gardner equation with time dependent coefficients
10.1007/s44198-025-00330-4 · ExternalCitation · doi-reference
On the modified Gardner type equation and its time fractional form
10.1016/j.chaos.2021.111694 · ExternalCitation · doi-reference
A non-autonomous Gardner equation and its integrability: solitons, positons and breathers
10.1016/j.chaos.2023.114089 · ExternalCitation · doi-reference
Symmetry reduction related with nonlocal symmetry for Gardner equation
10.1016/j.cnsns.2016.06.017 · ExternalCitation · doi-reference
Kink breathers on a traveling wave background in the defocusing modified Korteweg–de Vries equation
10.1017/jnw.2025.10015 · ExternalCitation · doi-reference
Wave breaking, dispersive shock wave, and phase shift for the defocusing complex modified KdV equation
10.1063/5.0231741 · ExternalCitation · doi-reference
KdV breathers on a cnoidal wave background
10.1088/1751-8121/acc6a8 · ExternalCitation · doi-reference
Physics-guided multistage neural network: a physically guided network for step initial values and dispersive shock wave phenomena
10.1103/physreve.110.065307 · ExternalCitation · doi-reference
Undular bore theory for the Gardner equation
10.1103/physreve.86.036605 · ExternalCitation · doi-reference
Method for solving the Korteweg–de Vries equation
10.1103/physrevlett.19.1095 · ExternalCitation · doi-reference
Cnoidal waves as exact sums of repeated solitary waves
10.1137/0144066 · ExternalCitation · doi-reference
Fourth-order time-stepping for stiff PDEs
10.1137/s1064827502410633 · ExternalCitation · doi-reference
New solutions of Gardner’s equation using two analytical methods
10.3389/fphy.2019.00202 · ExternalCitation · doi-reference
Rational solitons in the Gardner-like models
10.3390/fluids7090294 · ExternalCitation · doi-reference
Using symmetries to investigate the complete integrability, solitary wave solutions and solitons of the Gardner equation
10.3390/mca29050091 · ExternalCitation · doi-reference
Abundant solitary wave solutions of Gardner’s equation using three effective integration techniques
10.3934/math.2023413 · ExternalCitation · doi-reference
Exact solutions of Gardner equations through tanh–coth method
10.4236/am.2016.718186 · ExternalCitation · doi-reference
