Jada Pinkett Smith was feeling the love -- for husband Will Smith -- on Valentine's Day.

The actress and singer, 40, made a very public vow of affection to husband Smith, 43, on Tuesday, several months after they were the subject of vehement split rumors.

Posting an intense new ballad, "Burn," on her Facebook page, the star wrote in an accompanying note -- alluding to the recent deaths of Whitney Houston, Soul Train's Don Cornelius and others:

"With the major losses we have experienced in the last few weeks...We should remember...Our lives are worth living fully. Our risks are worthy. Our mistakes are worthy. Our traumas are worthy as well.The very paths we are told not to tread are the paths that hold the keys to our deepest understanding of love for our lives and ourselves. Self love is the gateway to truly loving another…deeply."

Her note concludes: "Will, I love you. Happy Valentine's Day. This is for you."

Married for over 13 years, the couple, parents to kids Trey, 18, Jaden, 13, and Willow, 10, squashed an August tabloid report claiming they were headed for divorce. Although we are reluctant to respond to these types of press reports, the rumors circulating about our relationship are completely false," the Smiths said. "We are still together, and our marriage is intact."

Listen to "Burn" now.